diff --git a/03 Basic Dynamic.ipynb b/03 Basic Dynamic.ipynb deleted file mode 100644 index c1c62a2..0000000 --- a/03 Basic Dynamic.ipynb +++ /dev/null @@ -1,2120 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "id": "0b150bdd-1854-4cc9-9a88-e42b194cf498", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "markdown", - "id": "acbfbaf8-9d78-4ead-83aa-f519b8465a9e", - "metadata": { - "tags": [] - }, - "source": [ - "### Basic Dynamic problems for understand how work the library" - ] - }, - { - "attachments": { - "830a0017-2e5f-431a-aac9-60ab82dc96db.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": 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" - } - }, - "cell_type": "markdown", - "id": "06c344d9-f0c5-414a-b2ac-bc127696a71a", - "metadata": {}, - "source": [ - " ![d010.png](attachment:7a5e6834-032e-41f1-a88b-51f6c61ba31d.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "aa2830a2-ef3d-49b9-af6f-dfc0d42646c5", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "# Again we will solve step by step... in large ..inapropiate.. mode but is for....\n", - "# understand the library...\n", - "# we will solve like general problems with only with symbols data..\n", - "\n", - "# create symbols... \n", - " \n", - "P=mparticle(m=m,g=g) # first tu Physic o..jete, sorry object\n", - "P.add_forza(T1,pi/2-alpha)\n", - "P.add_forza(T2,-pi/2+alpha)\n", - "P.add_forza(m*g,-pi/2)" - ] - }, - { - "attachments": { - "688e54bc-0d2a-4bb4-96db-87077101b2f6.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "85037e9b-77ab-4707-b15c-f8a24c7dbcfa", - "metadata": {}, - "source": [ - " ![d010a.png](attachment:688e54bc-0d2a-4bb4-96db-87077101b2f6.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "4affe30b-88d7-46bb-a723-b3196c59516f", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Fy =T_{1} \\cos{\\left(\\alpha \\right)} - T_{2} \\cos{\\left(\\alpha \\right)} - g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Fy = 0 .. create MyEq\n", - "Fy=FyQ(P) " - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "9b7f44de-877b-4621-b442-41c606b4c392", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T_2 =T_{1} - \\frac{g m}{\\cos{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mm= Fy.solve(T2,'T_2')" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "3b008cc3-c9f5-425b-ad4e-fcdc99214257", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T_2 =T_{1} - \\frac{g m}{\\cos{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# when MyEq.solve detect that later variable to solve 'in this case=T2 \n", - "# there is a string not empty return NewEq\n", - "\n", - "T2= Fy.solve(T2,'T_2') \n", - "# is my form to short T_2=MyEq(Fy.solve(T2),'T_2') ok.... " - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "05c660c5-348b-4685-b3d0-39a05559828f", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =T_{1} \\sin{\\left(\\alpha \\right)} - a m + \\left(T_{1} - \\frac{g m}{\\cos{\\left(\\alpha \\right)}}\\right) \\sin{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e1=e1Q(P.x_res()-m*a) #equal 0" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "a94992a6-9fce-472b-b67c-3f8f72991c6b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T_1 =\\frac{m \\left(a \\cos{\\left(\\alpha \\right)} + g \\sin{\\left(\\alpha \\right)}\\right)}{2 \\sin{\\left(\\alpha \\right)} \\cos{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T1=e1.solve(T1,'T_1',kope='f') # new T1 Eq from solve" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "f3214315-9bf5-4a0b-b898-84e4800b5de6", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T_2 =- \\frac{g m}{\\cos{\\left(\\alpha \\right)}} + \\frac{m \\left(a \\cos{\\left(\\alpha \\right)} + g \\sin{\\left(\\alpha \\right)}\\right)}{2 \\sin{\\left(\\alpha \\right)} \\cos{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T2=T2.evalif('T_2',T1=T1)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "bfc62428-4571-4972-83d7-6a17e45d9374", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T_1 =\\frac{m \\left(a \\cos{\\left(\\alpha \\right)} + g \\sin{\\left(\\alpha \\right)}\\right)}{2 \\sin{\\left(\\alpha \\right)} \\cos{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T1.factor()" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "c0c231aa-6811-4eb6-bedd-e564016db7ec", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T_2 =\\frac{m \\left(a \\cos{\\left(\\alpha \\right)} - g \\sin{\\left(\\alpha \\right)}\\right)}{2 \\sin{\\left(\\alpha \\right)} \\cos{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T2.factor()" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "e3899276-97d3-445b-b686-a9b63d28b389", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e2 =\\frac{a \\cos{\\left(\\alpha \\right)} + g \\sin{\\left(\\alpha \\right)}}{a \\cos{\\left(\\alpha \\right)} - g \\sin{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e2=e2Q(T1/T2) #T1/T2" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "d907be33-8ce4-4018-9187-5728a67a0278", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e2 =3$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e2.set([m,g,a,alpha],[1,10,20,pi/4]) # remplace real value " - ] - }, - { - "attachments": { - "13e16f59-0ff9-4bfb-92ca-17eccdf2e54b.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "ad7dc230-5e3a-482f-ae29-17efff65cb85", - "metadata": {}, - "source": [ - " ![d020.png](attachment:c33933e6-bcc7-4054-b3de-8bff8ae715be.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "fb60a822-90f5-46b2-9cd3-7155d11205fc", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "532c0a24-b0b3-4e30-9b14-2d5006f4b324", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =ac m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# tension in acceration of A\n", - "T1=MyEq(m*ac,'T1')" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "78814cfc-cdbb-471e-837e-9d9624a6cfe8", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle ac1 =\\frac{2 g}{5}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ac1=MyEq(csolve(m*g-(T1)/2-2*m*ac,ac),'ac1')" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "720d2b7e-4253-448e-9ed2-4d327a68c956", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =\\frac{2 g m}{5}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T1.setValue(ac,ac1)" - ] - }, - { - "attachments": { - "830a0017-2e5f-431a-aac9-60ab82dc96db.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": "8f7fbd6c-c7de-4004-984a-1d9795314d5a", - "metadata": {}, - "source": [ - " ![line.png](attachment:830a0017-2e5f-431a-aac9-60ab82dc96db.png)" - ] - }, - { - "attachments": { - "d3b2039d-7842-4b26-8620-1a09efbc9ac9.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "3c51b387-9c8c-4375-ad18-419e298cee97", - "metadata": {}, - "source": [ - " ![d030.png](attachment:d3b2039d-7842-4b26-8620-1a09efbc9ac9.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "d870a6df-4a09-4602-a524-13a10dfcd969", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "attachments": { - "1ad646c7-91c9-4a29-8c81-b911b4c127ac.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "30df2dc6-8217-441a-9fce-c4ae8965c02e", - "metadata": {}, - "source": [ - " ![d031.png](attachment:1ad646c7-91c9-4a29-8c81-b911b4c127ac.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "9ee049de-9b03-4466-820c-9a584a270dd1", - "metadata": {}, - "outputs": [], - "source": [ - "# wiltake axxis reference whit mass move direcction refernce like x \n", - "A=mparticle(m=m,g=g)\n", - "A.add_forza(m*g,-pi/2+alpha)\n", - "A.add_forza(T,pi)\n", - "A.add_forza(N1,pi/2)\n", - "A.add_forza(fr1,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "8e02dd0f-90ad-4ee9-8e7f-5d03bee72ff8", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Fya =N_{1} - g m \\cos{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Fya=FyQ(A,'Fya')" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "03f6bb41-9b79-49ee-bf66-828796110b79", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle N1 =g m \\cos{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "N1=Fya.solve(N1,'N1')" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "fd18ef5a-7d14-4bc8-8678-4f18d3cfb381", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\frac{- T + fr_{1} + g m \\sin{\\left(\\alpha \\right)}}{m}$" - ], - "text/plain": [ - "(-T + fr1 + g*m*sin(alpha))/m" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "A.simple_ac()" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "aea5250e-94ab-4f39-9984-d6b1d5d9ee6d", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Fxa =- T + fr_{1} + g m \\sin{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Fxa=FxQ(A,'Fxa')" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "5b64c290-f496-487e-a743-1e21bd65d458", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =- ac m + fr_{1} + g m \\sin{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T1=MyEq(csolve(Fxa-m*ac,T),'T1')" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "id": "a126a4e7-1ba0-4dac-ae29-c6c1765ebe5a", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =- ac m + g m \\mu \\cos{\\left(\\alpha \\right)} + g m \\sin{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T1.set(fr1,N1*mu)" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "e4016312-8c4b-448c-b822-17d3b5aa3638", - "metadata": {}, - "outputs": [], - "source": [ - "# wiltake axxis reference whit mass move direcction refernce like x \n", - "B=mparticle(m=4*m,g=g)\n", - "B.add_forza(4*m*g,-pi/2-alpha)\n", - "B.add_forza(T1,pi)\n", - "B.add_forza(N2,pi/2)\n", - "B.add_forza(fr2,pi)" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "id": "21e0bea5-dc21-4913-bd6d-bf1a8da4d0c1", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle N2 =4 g m \\cos{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "N2=MyEq(csolve(B.y_res(),N2),'N2')" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "id": "88803b78-cf04-45d9-a129-293135849e61", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Ac =\\frac{- fr_{2} - g m \\mu \\cos{\\left(\\alpha \\right)} - 5 g m \\sin{\\left(\\alpha \\right)}}{3 m}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Ac=MyEq(csolve(B.x_res()-4*m*ac,ac),'Ac')" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "id": "f2fc974f-aaaf-4565-9164-0ced56a9def1", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Ac =\\frac{- 5 g m \\mu \\cos{\\left(\\alpha \\right)} - 5 g m \\sin{\\left(\\alpha \\right)}}{3 m}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Ac.set(fr2,N2*mu)" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "id": "0bb43033-3ea6-4601-8f3c-a19f60f91c56", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Ac =- \\frac{5 g \\left(\\mu \\cos{\\left(\\alpha \\right)} + \\sin{\\left(\\alpha \\right)}\\right)}{3}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Ac.simplify()" - ] - }, - { - "attachments": { - "830a0017-2e5f-431a-aac9-60ab82dc96db.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": "0c82b86f-84c4-419d-9912-b805e8c22833", - "metadata": {}, - "source": [ - " ![line.png](attachment:830a0017-2e5f-431a-aac9-60ab82dc96db.png)" - ] - }, - { - "cell_type": "markdown", - "id": "b17e6c63-c207-47f3-aa47-73edba6f6e9f", - "metadata": {}, - "source": [ - " " - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "id": "b1210e06-e11e-403d-81ab-30c9a169d2e2", - "metadata": {}, - "outputs": [], - "source": [ - "T,m,g,F1,a_c=symbols('T m g F1 a_c')" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "id": "16ad566f-37d2-4bac-a90f-3b540bbb32bc", - "metadata": {}, - "outputs": [], - "source": [ - "P=mparticle(m=m,g=g)" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "id": "4a16bdb9-918e-4af9-8f5e-d494d008a8f1", - "metadata": {}, - "outputs": [], - "source": [ - "P.add_forza(m*g,-pi/2) # weight \n", - "P.add_forza(F1,pi/2) # F to applied the boy in the rope\n", - "P.add_forza(T,pi/2) # tension" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "id": "e7f01a9f-93ee-416c-91fe-28c11e3f4f78", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle F_{1} + T - g m$" - ], - "text/plain": [ - "F1 + T - g*m" - ] - }, - "execution_count": 33, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "P.y_res()" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "id": "1047f861-de5a-4adf-a1e2-21a8351c8a01", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Fy =F_{1} + T - g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# MyEq whit Fy resultant\n", - "Fy=FyQ(P)" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "id": "34e0c278-0a84-45af-92e1-4a439bb0373d", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Fy =2 F_{1} - g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Fy.set(T,F1) " - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "id": "85b95325-3664-4e8e-bc7e-6799b1a7aa4d", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\frac{g m}{2}$" - ], - "text/plain": [ - "g*m/2" - ] - }, - "execution_count": 36, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# a) Velocity will be constant if accel equal to cero then Fy is cero \n", - "# then... Fy=0\n", - "Fy.solve(F1)" - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "id": "16cdfc43-e27b-44a4-9375-6aecea97e4c6", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =2 F_{1} - a_{c} m - g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e1=e1Q(Fy.v-m*a_c)" - ] - }, - { - "cell_type": "code", - "execution_count": 38, - "id": "7c498755-e227-41b3-a695-2fc63eae9a3b", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle F1 =\\frac{m \\left(a_{c} + g\\right)}{2}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# b)\n", - "F1=e1.solve(F1,'F1')" - ] - }, - { - "attachments": { - "830a0017-2e5f-431a-aac9-60ab82dc96db.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "81eb3362-a893-4069-8c47-4e630e119e80", - "metadata": {}, - "source": [ - " ![F200.png](attachment:b142217c-2515-477a-a185-f514210a129c.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 39, - "id": "80de81b0-a410-40f2-be01-2036c3a6f84f", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "id": "0172f65d-c5e8-4147-8e65-719e4c843d8d", - "metadata": {}, - "outputs": [], - "source": [ - "# in m1\n", - "P1=mparticle(m=m1,g=g)\n", - "P1.add_forza(m1*g,-pi/2)\n", - "P1.add_forza(T1,pi/2)" - ] - }, - { - "cell_type": "code", - "execution_count": 41, - "id": "530a64b2-5a35-45d2-8ada-92adc90f8569", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Fy =T_{1} - g m_{1}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Fy1=FyQ(P1)" - ] - }, - { - "cell_type": "code", - "execution_count": 42, - "id": "9a1c46c9-59bb-40a1-a5ee-0833503863b2", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =T_{1} + ac m_{1} - g m_{1}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Fy = mass*acc\n", - "e1=e1Q(Fy1+m1*ac)" - ] - }, - { - "cell_type": "code", - "execution_count": 43, - "id": "51f4a8a3-8cc5-4466-8066-c97be66cfd06", - "metadata": {}, - "outputs": [], - "source": [ - "# in m2\n", - "P2=mparticle(m=m2,g=g)\n", - "P2.add_forza(m2*g,-pi/2)\n", - "P2.add_forza(T2,pi/2)" - ] - }, - { - "cell_type": "code", - "execution_count": 44, - "id": "b1132039-ce12-44f5-9c99-a7a398afbe35", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =m_{1} \\left(- ac + g\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T1=e1.solve(T1,'T1')" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "id": "b9b6d920-21d9-4a72-b2e1-b51be28b5ae1", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e2 =T_{2} - ac m_{2} - g m_{2}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Fy = mass*acc\n", - "e2=e2Q(P2.y_res()-m2*ac)" - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "id": "c11ea402-df7f-4672-b5fc-44b57dd898df", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T2 =m_{2} \\left(ac + g\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# b)\n", - "T2=e2.solve(T2,'T2')" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "id": "eb6a818c-9793-4ec0-8f70-27b1fc83c783", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Fp =m_{1} \\left(- ac + g\\right) - m_{2} \\left(ac + g\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# c)\n", - "Fp=MyEq(T1-T2,'Fp')" - ] - }, - { - "cell_type": "code", - "execution_count": 48, - "id": "947abcca-77d4-4c9f-b80d-f8f39b2f964a", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Fp =- ac m_{1} - ac m_{2} + g m_{1} - g m_{2}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Fp.expand(kope='sf')" - ] - }, - { - "attachments": { - "830a0017-2e5f-431a-aac9-60ab82dc96db.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": "431b11fc-a6d9-4dbd-b60b-19cb33177447", - "metadata": {}, - "source": [ - " ![line.png](attachment:830a0017-2e5f-431a-aac9-60ab82dc96db.png)" - ] - }, - { - "attachments": { - "fc130be5-e694-4fc4-811a-cbc535b3f925.png": { - "image/png": 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UlwGVqN26PT9/s8GITvr0SOI7qX1lX9O4Tu2P+gjcAFCX+49y/Z8UvR5IivuyVl/k+mdR3VqivwBrXd3v9A6iW1dsv7nqS85cxOO2PLfYy4JepttyrFXv6cO9aEpnw2pdwjmB15w82BrSwucu/hna6h8Ws0i1TSJt9zSSMxdQ6k1Z79eGevxDZuGkyahSK+xeUFiyn0vk1G53ByMp7mpP0aNO6pZ724VePlPWX3fLGt8v3slX0qTtKkGqcCwkh+xP98VnOV7Ltz1ebfd0JbXO7mA1Jsz6j2zYjGD2md1uOqwX7abp5JA5OTKfu+rU7MBBhRNad5s6Ad/p1s+UTfl0g1ih6a4xA/6bTY/Y7aH2cfHCqs3vGh3aHw0gcANAPWXlADV53aHp1jbnH/A+9UXuDEphW219woA7ip0eSt4EtDEbtr2LeOwXw/SYrGsptRRacqoFElf/6FavL1+n1cf9idn9TE6A1C2AeXdBbt2nJGWoYvTCQs8HppVSfa7qjXNuS6R6r5LR7myo0wP0mC/Ddn/mr15C4Y0o6J7s+PE+r7NNCgPE6BMCZxuFhvR+V++kR5ssGtY9vnVSRnXLfVvrr7W6Xxo9+dLHwibxunXW5RVmxxVavodMmHKP1+Lyi0KQMeumw+yq2iUQ9QWxz9wTuFYiVVi9XbPdxPXL6Nbi8jB1LOuTr+I+n62qdfda3dbWufyb1f9EugfUtOyyt7Rq87tHh/ZHAwjcANCohmr49GA5ZYNPhAv/iFcNHLrrwZStFXT/0S+5Yl4td5N9XKXg5iO3DUA6FFULJB63L9/CyUF0MlUSvOK69adkOVHZaLtODK+q3E5ea5r6BPXKadyfs93yC6eFrBDqqp201OeGEB3Ya/z87A62UbMLuKhMuvtLrdOaiuZp/R56IBK1rrr1OhpVx4Vu0e5kPXCr+6VQXqEDWO1tqT6nWW+9PdzyCh1Sit5Xf1ZzvLqPa8VBxj7e0k4LeJ+5vZ4Yej31UPzZwq8PNaeM6C4Um1YymIs6PsrKpqpez+GdxKg1bSD8zeXfrPNcvf1KuwusNr+rtLw/mtOn3iBvb9fkPu3II4+UD3zgA3LIIYeY++icY4/Ny5IleXn44ebPg/bs2SMPPvig3H333XZOwZNPPijXXrtaNmzYY+cU7N+/Xw477DAZGxuTpUuX2rnodo8//rjcddddMj09bX4SvuCCC+wjpXRQQSekZaRvSHaqcFL6hYXG5SQRWSfb1m51fqatJ5eQkXVOLa2hT1o2bZWNKiS197UHFNElD0NJlUfjslUP3GNnzx/9d+L8iuPXM4rTc4r/Y53X5N9sT6q9P5rRdOAeGRmRffv2mdvorCOP/LH63xdVQD7JmdGk5cuXy6ZNm+y9glqBe3Z21pxANXgYBOonP/mJPPbYY3LiiSfaOY6HH35YfvGLX8gf//Ef2znQjj32WNm4caNceumlcvnll9u5pQjcALCQOCf3psvOli4CRGd1bn80HbgRnLvuulj2798rJ598iZ3TGbUCdzf5/Oc/L5lMRv7hH/7BznHcdtttZrr55pvtHDSKwA0AXUD3ODQusmlrcdmND9virq+z8Gqt0XnzsD+o4QYAAAhSdI2smk7KUEh3Z1ntCox0YwP7oH3zsD8I3AAAAIGKymRWX0Squ58LSV9kRBIq6HlRT3cdGnH6EJc6A9qgE+Z+fxC4AQAAgmZ6w8g63UNOJ2VMBT2vFx7ddajtfq+13lzQtDneHwRuAACAOaG7Dc1LNhWXWNjts09Rt3U3kqVdgSJ4c7c/CNwAAABzqD86KpMZ3de97f9Z3dYDrRC258dc7A8CNwAAABAgAjcAAAAQIAI3AAAAECACNwAAABAgAjcAAAAQIAI3AAAAECACNwAAABAgAjcAAAAQIAI3AAAAECACNwAAABAgAjcAAAAQIAI3AAAAECACNwAAABAgAjfm3TPPPCN79uyRJ5980s6p9Pzzz8tjjz1m7wHdIifpkYhE+vqkT02RkYSaAwBAKQI35pwO2D//+c+96bLLLpPly5fLJz7xCfuMSnfccYe8+93vLnmdnh5//HH7DGCu5SQRCclQclqm7Zzp5JiERtL23mKQlhF9opGY79MMtR4RddKzqLb9XNHHuT6ZZNsC7SBwY848++yz8uijj8o//uM/ymte8xpvuvTSS+UlL3mJLFu2zD6z0kEHHSQ7d+6U173udSWvPfXUU80yf/nLX9pnAp3khI2+voiU541cYp2M6aQdjksqm5d8Ni5h/cDO3YumlTuXGJek+u/0rqwzo0T1bddpZj3cs54FYe62TdvSm81xPp3crk5rALSKwI058dxzz8nHPvYxedWrXiWf+9znTMA+6qijvOn973+/bNy40T670pvf/Gb5wQ9+IJOTk95rDj/8cLn33nvNMv/4j/+4ZkkK0AovVMu0ytHFMTonU9tM2pb41lGJ9qub/cOy1iTuxcLdBmorrAyZ/xarvu06L7ur+np0o7ncNu3K7d5pbwFoB4Ebgfr1r39tgrAO08lkUg455BA54ogj5G//9m/lv/7rv7zpvPPOs6+o7Y/+6I+813zxi180y9It4z/5yU9kcHDQvNfTTz9tnw20p39glb0VlrXDOlVbuSlx8vZaKZ6thdcOS9msHpUVJ+eWbRur6rbruJw4mbCD75PLqf/XU1rS6bQkEiMyMjIikUihXt+bIiPSbEXN3G2b2nKJiGllT9RounZPZtTZjCyM05n508j2xOJF4EZgfvOb38jf/M3fyLHHHitXX321KQvRwfrHP/6xrF+/3j6rdb/7u79rlvVv//Zvcuihh8rMzIx5L112ostXgLZF10hM/Scc3yqjRbkoN7XN1G1Xhuv5DVBzKr3dlJOIrJIBv49cZdt1XI2Tn3qcgFQWoPUUCknITEMyNDQkY2NJ02AwPV2o1/dMJ8W3oqaWudo2Nbm/UEzLLmeGD/dkRlk1sEhOJFvVyPbEYkbgRiD27dtnQvUNN9wgBx54oCkh+fjHPy5/+Zd/aZ/ROSeccILccsst5j10C/pDDz0kK1euND2bAO2JymQ+L5myVOS0+pWH634ZzWTmMUDNLa/UILZGbSU//tuu47K7qpz8dE4snpJsNitZ9XnyPtOk/waoYY62TU3uLxQxWdPA+i+Ucp3509z2xOJD4EbHvfDCCyZY33jjjbJ06VK56KKLZNeuXfLe977XPqPz+vv7zXt885vfNAH/4YcfNj2f7N271z4D6BS31a9Ky+4i4ZYaxOY5XbjBf1ULO6N/NOMboJ0pZVqhTYAajZp/Y3pqd+d2i9lyVU+YNDdEtrZ9F5WGticWMwI3Omr//v0mWP/rv/6rLFmyRD75yU/KOeecYx8N3m//9m/LnXfeKQcccIDpMlDff/HFF+2jQCfYEBJETWsuLYkRt8whUqM22PZy4dPFha47Nl3k2WWM+C6k/de7ddMtN3yWfNbWuxZ0gn8ArYpugOrR2mWvLKrWDnS3QSe2b8PHdrNyatG6vr5wzDa17FzC1OVXP/4aW35D27NYQ8e/0+1mX8Snf3+9Tua1I/Qes0AQuNFR73rXu0xNtfapT31K/vzP/9zcnkvHHXecZDIZ84+YvohS13UDzUqP+H256qA6ZGuXO0x/gYaGZMzr325axtZVGUjHdtUmZV216ZpkXXdc6CJvWpJjocqu59p9vdfy6d/K77/tilR8VvVOY+vqBKXSQYb0xYppFVq2650RZCjucO1ytW1j6sn1Z7L3g1XoYWZa7V839HmTu8NtuU7l9lV/BzYsNtQ/dzPHdjNUWB6JhCQ0pOvr7Ty17PKaen3cVAumblD21eDyG96ermaP/+ltMlX8mHp9n14ncycp474vdP5ezPv7BXbMOQI3AqEHs3nnO99p78293/qt35Lvfe979h7QLBvkyhS6c1OmxyRU74u1UfoL2HyBhiWWypqShmwqZt+jRnAtCkI6yIX0yoVjTr/g+azoRWjJ7VXWq9XX12z99d92Ht2iWPJZ3dKNGkwrZOkgQ/pixSF9cqBvB3FBn1sb3tHa5WrbJi2b9baf3imlvQQWhSZ1HIykW49NpReIhgrHsQ/3M7vlOiX18foXEP16Gxank+O1T5RaPbbr0aEzNGZODsPmmHWWraeSmnp17IybdS3ftnXUWX4r29No5vj3fmEoPrFV21+9vphfP/jpEefvxVDbenOL/zShcwjc6Jizzz7bXLw4MTEha9asMf8QzaeXvexlpu9u3WPJS1/6UjsXaIDvF52u+d0qcdvXdjgWl3g8JrGYmuIpSekvz+avniv6Ahb1BZxRX+bOG/aHVqqv5MboL3/zHRxLSTYz6fQLriJSdI39Kq8zGE/Tr3dbPv2CbpVt51BhQYWYks/qhfcqvYzo7WNfo7d51pwM2NBmBVFHHkj/0zW3jVbaeloSmtRjyaF6vwJU1z+wtvJ4UkEynrIXhNrtqif3Yk63Tr9Qv633nzrJCav9oJ7n7AK/Fl+rA8e2L7tc9QHU+mclY45Z3w1aaMGObfK9oNnr9rBYA8tvZXs2ffy7f2dF0iP2JFPvg1SVwbbUyYJZ/SJVT7oxZwjc6IizzjpLvva1r8ns7Kypn9b1291AX0Cp6eHkjz76aHMbqMv9oqu4AKpfhu3oNqvWjMro6KTowZgmR6MStWGiOTlJrLNhMp41LWeVqoUzRQde9eVqWqZVWNaB3/ep1VqA23y9b+tv1W2nc4wzMmXhsxY+f2zTqM97FAKKfk1mUj3HPqk/utGe/LRRR15DZdjsgBrbxlH4LO5JUFidzGW9XxtqhNt6oqOSsQEwa88aY5smZTRqLwit+JhunX6hftsJezFJZZx95Z6Q+Q/e0+axXUNJiK7zd9foxb3F+7mh5Te9PfU+be7490763F+S1InAuAnSdh9EB9QWLKeW6TxJ/UlnJe+emC6iEXC7FYEbHaG7AdQXTF5++eUqeNT+h20u6YFx3NIS3S840Ajvp3SfJOd8gXcm5HklKirslncR533p+5RtFNZvt/Pzsm7t8kk0aVu/UP45OvV6vzBafdvZsgkVFjaZz6qCQcT5Kb5aIHNb80zYLm+edPvfbjG0zYdax5XD/Sx2W5njQp8EFX5taL+l0q03rncMl10cbFtNY6nJipMFv5KGVo/tptQdbt4t4al20WdRP+N+GhrOvtHt2fzx7zEnvEXh3NsHIVmps/70LrW3LPf6DLXdTQt6u78moGMI3Gjb2rVr5dZbb5V4PC6nn3666QqwW+iyFl1a8v3vf9/0VqJv624LgVrcUF05iE0nuwR0v4DDEt9Y/m3rPqZUa51WpsfGVCB1hpevfI4bNqoPxtPq631/hreqbjt3oBzduptzLkZzw0ZFmNbc1jx1MrDV5/H0Zid8BKMDvbD4qLptvLICJ4B6LcnFKcwNTm23VNa+4NXjrpM5/mzdsAlx5lFH1XVq/9iupX90k8TMGydlyNa2+24T9zNU+0XBO2kr1fDyjQa3Z7PHv+L+nZnW+ZIgbWb7cFu3i46dftsKXhzKMS8I3Gjbc889Z8KsHnimm8K2S4fuww8/3Nx+6qmnzH+B6hoI1e22zCnuz8vmZ+uy9/HqNJXqreyOaqMVesvwWX67r6+u+rbzWst3jjsXo6lQEM9WH/zFDdS+pSbFNaod2Bdzo4HjSgdQe6IRjm8sDYlucGpXvRDqsuUv+vjzPQEoVhbm2jm2GxOVyYwus9GpWNe2h8wFmBUXlfrUQBeokwjbYqzWpOzEqsHlaw1uz2aP/8LxotfNnvD4nsAUsaG80AKu2VZwtZZNXTSKjiNwA0AJt8XKj32sxZa5YiWtV0W82t2w+Zasw/15upR3EWStkGS0+/py1badGx5UfNGBIO5cnFk1a3it6z6lACqQmgva1PZpZAu1ptYx0KoayywOt+ZEw3+/GG22VLrlHPXCrlc2JFP+JwCadxJQGuY6c2zX0y/RyYzksymJFwXj4m4K3c9QQR9DfTr41zqG6i9fa2x7Nnv8a4XjZdu6aie//TJgdoDe/jaUh+Pin8nbqP9HRxC4AcCPX8up25rVtkK5RvH3tA4k+gJG/TPz1rXOvMr62MKXt986usvQy45ni1u6XB18fTVVW531MjPmIlOfmC+6C7ySPFO+HB2UzEWU6kQgs6kzLb411SkTaIXfNrcbdNWuzU4g9Qu36lVOS2VS2injdsNwvYtB3eclx9T2rlLWU1inadnmdRTdzrHdgv6ojKpgrHutMbHYr5tCt+QlZ7tZVMeQSr0q9LrHUI39XGf5jW5PR5PHvzFt+wCvdfI7LWO2i8zKX4TcUK5L0ts4cNA2Ajfa8u53v1vuvvtu+cxnPiOrV6+2c7vPwQcfLN/+9rfN7YGBAS6gRHW1QnXNn6jb4XzZur2F6J+Z+wvfkirCFCtqKS0eEMOOXFcIy5kqLWjtvr6Glk9InAvIdNgsaSj0WnPV9knowUJ02C47EXA/g27hi7TRr7OvDv4MX2PbeOE2adJ2lXBb6CEnOWT7f26133cfZjTFPnf7lZ5U+fcgoxXWqfrALc0c263rj07KJtshh6t/2Hbd5/aZH3KOMd17h+nxxt0nVU8QC/yWX0vp9qynyvFfxP8kTJfRO9vfqFLf7XXvWa/PdASKwI226OHT9+7dK0cddZQccsghdm730V9OL3/5y83thx56yHTlBMyfqDjfgbplyhk4Q/e3HFZfmF5f3tE1YvulkKHiEQi9kKB/Dndfr8OEHbnODNJRIyy3+/oi/t3B+XFb2cpHGLRB2gwcogcCcd+30Jo7pNdNb5+xpEyXrFuhddV8Bt3Ct6qZevNaCssO/mf4RsOt2orexXyK3ha16nnr0K2dZj+4J1oq7U17JQtFJ2U1L9LT67TV1jqL3VZtHNsNyuWKjjvdap3QFyH2mcBa0p91/6hsjTst0+oBsw7ZfKE/cE9ZiVjDyy9Se3s2e/yXq15i5J1UVOlpyPC2t7NP2hlACW1QwaMhs7OzTAFPd975ifxtt33c97F2pieemMlfdtlxvo+1O73tbW/LL126NL9169b8nj172pouueSS/DnnnJO///77S6bPfvaz+VNOOcX3Nc1MDz74oFlXPT333HO+n6fXJrQgG8+rLzB1RhbLp+wsVzYe1mdqefXNaOe0I5VXOcVZXjiWj6eydn6B+37hWDzvPZqKeeuQVbedda2+jArtvl5JxZzXhONlz6+x7QqP+Uz6vcvfOlu0fSScj8XV+tqHPN4yqzzeBmfbhyvXq1U1to23PTtyXNXh7v+ySb934aNm83G97dV+aW2NWjy267LrVbTexVPpZ6jPWwdvJ7ew/Ia2p9Ls8a84x4U6tjvyz439W295n6JdtHCjK912222yefNmew+YQ/3DYn4lD6907hdxW5P01D7dE4IdjU5fQOUzwEb/aMY8bn7+tvOK+3LWP3O7g29UW0a5dl+vOT9j+3RvV2Pb6dbGTDZeaKHVws7w1r4XkPUXbR/dKulX96qXWevxNjjbvrGW/obU2DbRSedzZmo1JXeK2udui7RhRkfUJRbF269fRvW2V/ultTVq7diur1DC4girQ0itv74I0W6/ZnaXU8pTfBy3sPyGtqfS7PGvOMeFbpG3M9rh/q23vE/Rrj51wOszrLoafBracNddF8v+/Xvl5JMvsXM648knH5Rrr10tGzbssXM655RTTpE777xTrrnmGrXeJ9u5rbn++utl586dMjg4KP/0T/8kzz//vBki/qSTTpJvfOMbcvXVV9tntkZ3XRgKOQVyuntA3Y1hr9OlAugt6RHnp+1YKt/SF3G7rwd6Q1pGTE8lMUnlCaEIHi3c6Bpvf/vb5YQTTpAf/OAHcs4558jrX/96M0Tud77zHbnooovss4DFzK33bXVAlnZfDywM/j1+FBT6Cq/THznQIQRudI0jjzzSXHipexA5++yz5e///u9l2bJl8uyzz8pxxx1nnwUsYu0OZ74Ah0MHmqdPLHW/2SPif31grZEwgWAQuNGVjjjiCHnFK15h7wEw3G4JG+jGzFe7rwcWhH4Z3RpXcTopQ6GIjCTSurMRS3fBV20gGSA4BG50FV0TvmrVKlNSoqcf/vCH8rGPfcw+Cixu7vDQrY502e7rgQXDXqSou75Mjg1JyO3+0nTBp58Qk+ZGUQXaQ+BGW045ZVaOO25WLr30Uvne975n57bupS99qZxxxhly8cUXmykWi8lrXvMa+2jr9u3bJ2eddZa5fe65++WAA8xNYAEp9Ndcb1huf+2+HlhgTC82WUnpvriLOxIJxyXlO4oqEBwCN9pyzDF5OfhgkZmZGdPzRyfo0K0vmNTTa1/7Wju3PbOzs3LPPfeY28cdlxc678DC43ZZ5tMdX0PafT2wEPVLdHRSMl4Xk3l1e1Qa7AET6BgCNwAsEO32Dd3xvqUBAA0hcAMAAAABInCjbePj4/KHf/iHEo/H5fvf/76d2z30ADp/+Zd/KQcccICk02lZupQCbgAAMHcI3GibrrU+5phj5P777zcD1HTi4slOee655+SDH/ygTE9PmyvU3/KWtzD6IgAAmFMEbnSEHqTmDW94g+zatUseffRRO3f+6eHcM5mMHHTQQfLVr37VzgUAAJg7BG50xB/8wR/IxMSEvPGNb5QvfOEL8t3vftc+Mn+eeeYZGRsbM6NXbtu2TU499VT7CAAAwNwhcKNjdB23Hh3yvvvuM/1y6zKO+fLkk0/K6OiofOtb35KlS5fK0NCQfQQAAGBuEbjRURs2bJBwOGxC96c//Wn5zne+Yx+ZO0888YR89KMflTvvvFMOO+wwufbaa+0jAAAAc4/AjY7SJSWf+tSnJBKJyL333iubN2+e09D9+OOPy/nnny933HGHHHHEESZs65ErAQAA5guBGx2nQ7cuKXnzm99sQvdnPvMZU0utyzuC8vDDD5v3uPDCC+X222+XI488UpLJpKxZs8Y+AwAAYH4QuBGIwcFB0z/36tWr5cc//rHccsstcvnll5uW50576KGHTC8p+j1uvfVWOfroo+Wqq66SM8880z4DAABg/hC4ERgdui+++GLTa8nJJ59s6rr14Di65EMH43b97Gc/M8vSfX/fdttt8lu/9VvmvT73uc/Jn/3Zn9lnAQAAzK++vGJv19Tg09CGu+66WPbv36vC6SV2Tmc8+eSDcu21q2XDhj12Tudcf/1bJRLZKMuXn2Ln+NPdBOpgrMs9tFWrVpnJpWu+TzvtNHuvulwuJ9dcc425reu1ddDWdO8ol112mbzzne8092sZHz9ILrjgKTnwwJfYOb2LQX4AAJh/BO4u0suBW9OhW7dyf+1rX5P/+I//sHMdxx9/vJx00kn2XnW6Vru4LOXVr361Cs8XyFFHHdVQ2NYI3AAq5BISCY2JxLOSGe23MwGgMwjcXaTXA7dLD/3+ox/9yN4T0+qt66/rWbFihfzVX/2VvefQQ8o3GrRdBG7Mn5wkIiHZtiolmcmonYfGpGWkb0h2+gbiWo81Jj3SJ0NJdSOWkjz7pgeoYyIyJEn1t8b+RDcgcHeRxRK4y+nwrYdfr+f//J//I6effrq91zoCN+ZNekT6nFQnqfykEAPKOSckY9NhlXszUpyTcomIhMamfQNxrcca4wR2vWfCtHD3hPaPCaCzuGgS8+71r3+9fPjDH647dSJsA/Mpt3unvQU/ucQ6Fbb1rWnZuTtn5jlyMrXNGbk2vDJk/ltQ67EG5XaLu2dWDRC2e0F2V5vHBNBhBG4AmCNuCFApQOY6BugWv76+iCTSdkYX6h9wL6QOy9rh4uCbFWfTlc/Xaj3WoOwuFfG1mKyhMbQH5MQ5t23jmAA6jMANAHPCDQHKqgGZ2xjgtgJPyy5nRneKrlGRV8Wk+FYpqepIbzflHmrDSUUDdK3HGuT98hBb05NlPrl0QkYifdI30sVnW52UmxJzuIfXyrzn7VxaEiMRifSp7W+niNoPxb/fYHEgcAPAHJv7n7ndVuBub8GNymQ+X1FDXSsQdyIsu788xHqteVuFPR20Q0NjktQfMbldFkXktr9YhNcOz/GJbbGcpFXQ7gsNyZja+M4R5phODkmI0L3oELgBYE64oXce6oTdGuUF2oJbKxC3H5YL5Qe9Uu6bs0Fbhz0TtK1wfGNPtuCXc0/C5q0eP6d/UQjJkNn4YYnFU5JVJ5L5fFZSsbDzHBW61yWI3IsJgRsASuieMlRYiSTaaIGyrVt9I4UWRe/CvA60MtufqZ2fqCNS73s7N7XNafFrO1EGtG1qqhWIOxGW7YlQeflB2TauWY1R8tw+iXQySDW8r9V2TYyY0oWQG7TDMYmnUhI3GS/geuYmj8kgOSdhHf41p9HPp3siCtlfFMJxSWUzMjkatS3t/RKdzEjW2SEyPbZuXrcT5pjuFrARs7OzTAFPd975ifxtt33c97F2pieemMlfdtlxvo+1O1133cn5bDbt+1i3ThdfvDS/d+9zvo/12oQWpGK6D1Q1hfPxrJ1XIZWPhcP5WMreLecuIxzPe4vwm2dk8/FY2DwWrrrAImo56uvarqOdKpZZTC0/XPb84qmR93QFtW2UVKzactXyzHvG1K1ytR5rUDbubM+iFc7GfbZxtffw2x81t08TmtnX7udQ7x2OxfMp70l2G9U8RtrUxHqqsKkea2N/lciqt1af13tPtdxsAJ+3hf2g/5arvr+3r6T63wl6DoG7iyYC99xMBG7U5AbCGiHOCYfqS9U3VbkhsPTL1ASN8te44cCb6gQ174tfB1rniVlvfQuvdd+rkcn/M1QR0LYpzPf5/G448Qs4tR5rlP1M7vroAGc+owpvcbuN3c9UEY6KQq6zP2p8jmY1uK/rctcxqGTX1HpW2z5OcHZf4y6npqLQ6jt16vN2aj8U817fqRMPLASUlABAM3IJGXe6xfCvEXV7zYilSgZucWuNC69Jy4j+6T8cN/WdKtQp07Irax6spIceH0qa0hBnUBj7I3VopahAUKJ/YG3FPLe8IJvNqsk0tpipo4O8tLhtCuU2Pj2NuF32+fXsUuuxBjn1vk5Jiu460dTd6n2SmZRRu41DKyu2pqL331jp/nA/R7u9YzSxr+uy2yiQC0JbXs/S4zw94tY7a9OSHKpTaqHf1277cEztK3s8qyDsPK505PN2cj94cpKwfySLpaYeDgI3ABSr82Wa3ux80Wulg7NohS/T0i98t9a4UFeaHtEjG8YklRk1YTG6xgkLlcvU1HLX2YARz5aGVU9RWI2OSsYGardeNLZJB8io9Pf3q8nMal4g20Zxg3ONizpr1Z+3U5vunAitUjdGnJEJTdh29onLeU5pnXguMW5OHgr7o7CPYptKX9+cJvd1HcUnFJ3VznoW1sc5ydHL0BcW6osK9dwaJ55FJzr6fTOTalvb9+iPbvTq1dv/vJ3dDy59cmEGd1LH2VZGNF1UCNwAUKx/QMcvf24LbtiJndPlqcDr/zcuG0u+oN0L8+yAN+kREzJiqcrh3SuWqXgjMMZSlV3m2QsivWWXcPvf7lDgCmTbqIecsxHf4Fyrx4n2e6OwJ0LhnbLNSX0VYVsHvO36c5WEq7RsdnaIbDL7Q4UzMyS9XkS1cNaY1ve1P/eEouVNVEV76+muj92OZhn6wsJ+78Qzud3/KlXnRNXZzhW/zrjHWAc+b6f3g+aeXOjjxj3RxuJB4AaAEiFxKgh2SnkjrdOCG5b41q1OS1pZv8ZebyDl/f+6pQam9CEtI07aLg1mbuvxzt0qvhVzw5163/Kk6j2m+JZVuF0RdipwBbBtFLcF2a8XDbcUx0+txxpjt8+07idZr3tlCHJbskta373SGDVPnWjoLuD0bvANgU1pZ1/7cU8omguG9bW4nl7JjbM+3q88xX8IVf8OFO+kzr91uPgXlvZ0ej/ozxpxfkHRy8xWnmij9xG4AaBEvzgjjJf9rO1+2cc2yWh/vwyvNalSxr1i00JrckVwdAfiWBnyDxnFpnepGFhQCHz6fc0sj9vap/mWVbgBp2P9bwewbdxQGEArbF1e7bhas/LRLQ3/4JV2mrwlvHPc6QJO7c94tv16+Lb2ta9C3++d1PZ66qBqj5mKOuYav6K4gdq3ZMf+amS0eYLR2f2gu8HsszXqOmxnfI4zLAYEbgAo41dP7bXg2uDVP+xcmDg9tlnFMqXGcNJe6YNM+YcMzQsapa3Hbitued2zV/tqSzj8eK3KDQe0+jq9bYIKhQ1xa8e90pBiukzECVelYdw9QVCfT73YDGqiL7DsQIhqZ1/7Kjqh0PSAOLqv7pFIYajxVkZ7b3k9i088zTHjt92tshNPdZTZ0h6f/rVVeNcXN+pypia3kK9O7QdnSH19Qai6E1Yn2YTtRY3ADQDl7M/a09umVLxSSlpw9Qylf1Q2mezptOTWL5lQzxxTIaPqxVJuuca0bJtyw6wbMsov2HN+ntYlDFvXOvP8ar/d9229xtlHh7eNx7dVshBuK9V6rDmVJ0C6VbLexW1Oa2VhUJNizuA+zYXZ9vZ1JbUOm53trs58JGQHxBkaS0pSl9DocBqLy5qmz8VaX0/vxHPXZie4+p14en8HSfEt4y4/TnTYNhdR6rroTVVbxxvX/n5wR/p0h9QPx5yTMtvJCRYpAjcAlOsfFlMVMb1NpnJubwWlZQWa29o7PRby6jOrl0w4qvdg4ZZi6OVV6xbNCXLmvezFXP1OjYfKJ6U107Xk0npEwhZHA+zotlHKWmHnVHSNimn6o0xJ2m6LilbJpi9ucy6g1K8vDmzNa2Vfq5ObtDsiYnFXe4ruFlK3xrtdQmYypoeP9kNg4+vpnXgmTdquciJT+DtIDjmt8H3FZy5ey7d6Xz2ypgnb+uRHBVozXzHHpvqvCb7tjnrZzH6wzy0bUn86OWROeJxRKqtNjY68igVL/eE1xG9QDabOTgx8MzdT3YFv1DdS1kxT+ampqfzERCwfi8Xyg4OD+UEzWEHRNBjLT2R9ltElE1pXPnhM2HeEi7JRHH0HYCka3KbuYBzuACB6kA1njjvoSvFUOiJl0fLLRvDzXqueb9Yrm/JGtay/LtV1btsoNQevKSyj8j1qPda4aoME6dEaqy3V264l66z2nTdCZWH/NaP1fV0+mqh6fz3aZErtbzO/AwPxFGltPUvXsfb2Ua93n2tGj9Tzyj9j+eOaz3Na2BGd+HzNTWF1DDe/nlhYCNxdNAURuJ9++un8Nddckf+Lv3hp/uabb/Z9TjvTQg7c2YlBn3/4mp9iU/7vo6fs1EQ+NqieF5vyfTzoCe0o+lKtOSKc+qK1Idb/u91+EZcEpGaUhg939MNibmisCIneiHalkw4P7eWvTm0bxRsx0H85bvjxC9W1HmtcYR3Nsqps4xK1RjnUr295dVrd127Ya3CUxra1tp7e/mohBBt6ZFb3ffVnVSG14p29fVPl8Ya08PlK/tb0e+vh9XXDjXk6QODupqnTgfupp57KX3311fnTTz/dTGeddVZ++/btvs9tdVoMgTs2MeW0ePssq+qUnXKCtrecWH7K73kBT2iTGda5s62Dc60wZLaaGgmTjerYtnFPSFRAsXOKOcHG/31qPRY4FewK4U+vvxN2F/ChgnbYwF3rlxEsbn36f9RBUleDT0Mb7rrrYtm/f6+cfPIldk57HnjgATnttNPk1ltvNfcfe+wxefvb3y4PP/ywud8J11//VolENsry5afYOd1vfPwgueCCp+TAA19i5/hJy/olw6K7+5qa3eJzYY+/mZm0bD5XvW6HnWENTuj+eZfbe3NH1wYCAID5xUWTi8Dzzz8v3/nOd+w9NGRmt9yn/zu4QgbMjFpmJJ1YL5ElSyQUsmF7MCYTU1MyMagfH5S1p8192AYAAN2BwN2jnnnmGfnhD38ov/u7vytTKvh99KMfNfff8IY3yDe/+U37LNR14oDUjcoz35DxDUnZoYL1YGxCprKzMpvZIqNRkftN+F4r5G0AABYvAneP+ulPfyrj4+NywQUXyC233GJauW+77Tb5xCc+Ie9617vss1DV7vtVgNYN3PXbt2X5qGRmVciezUhmy6hE3XDttpI3EtoBAEDPInD3uGOPPVYmJibkbW97m1x22WV2LuqZ2W2icntsaI+d0WgFOAAA6EUE7kXgmGOOIWw3abepBdGN0623TTuhfVAaaSQHAAC9i8ANBMQJ7SdKG5kdAAD0AAI3UGFGnIqSdlqn7TIa6uUEAAD0MgJ3j3n22Wflu9/9rtx77712TqX9+/fLD37wA3sPwdjt9FACAAAWPQL3AvfUU0+Z8OxOX/3qV2X16tXyvve9zz6j0nPPPSdvectbSl7nTjqMowNh2e2hxNID4ui+utdHIqa/7iVqWp+2DwIAgJ5G4F6gdND+r//6L/nSl74kER3i7PSBD3xAXvKSl0h/f799ZqUDDjjAPB6LxUpeq6dMJmOW+8ILL9hnL2at1l/PSHrzNtNDiezYICE7IM7whqQkd+yQHYNOf91nUGsCAMCiQOBegHTY3rp1q7zxjW+UsbExOeyww2TFihXepFuvP/vZz9pnVzr00EPl61//utx8880lr9Otrm9961vNcr/97W8TuuU+2T1jb9Y1IzPptCTWR9R2DMlw8djuetTJiSnJ6gFxdH/d6qSmpL9uAADQ0wjcC8iTTz4p//3f/y3XXXednHfeeSZoH3/88XLaaadJKpXyplphu9iBBx5Y8rpVq1aZ5ekW8FNPPdWEbv1++/bts69YLAZkhRmSfYfcv9vMqGFGEhFdIhKS0PCwbEiKxPRok0XDuk9cv0VGR6OynIANAMCiROBeIHSr9he+8AV5/etfLxs3bjRh+4wzzpB///d/l0996lP2We3RI1Lq5enh4N3Qrd/vW9/61iIL3cvltLU6LTfTS8mgxKayZrTJLbr1OhqV0Ywz+uQoQRsAgEWNwL0A6LA9OTkpf/d3f2eC9mtf+1p5xzveIZdccol9RmfpCy9f97rXmfdZunSpaUG/8847Ze/evfYZvW/5aKbBsLzcC9ZbqBEBAAA+CNxd7umnn5arrrpKNm3aZML2WWedJXfccYd88pOftM8Ixle+8hXzPieddJIJ3aeffrq5v5hCNwAAQCcQuLvYM888I1deeaX8wz/8g7nQ8eyzz5Z//Md/tI/OjS9/+cte6NYlLLfffjuhGwAAoAkE7i6meyLRAVuH7XPOOUf+/u//3j4yt3To/oM/+AMTutesWVNzUB0AAACUInB3KT04jS4n0X1qv/vd7zYlJfPppptukj/8wz80ofvxxx9fhD2XAAAAtIbA3YV+/etfy8TEhHziE5+QM888Uy688EL7yPy68cYbTbeBurTktttuo59uAACABhC4u9DnP/95ufjii+Xggw825STd5PDDDzddBurSku9+97t2LgAAAKohcHcZfUHib37zGznooIPkve99b9e0brt0ackb3vAGE7qfffZZefHFF+0jALpXWkb6+iSSyNn7AIC5RODuMrqURLdu/8Vf/IV87GMfs3O7iy4t0f1069ISPRolgO6WS4xLUv13elfWmdFzcpKI9ElfX0RG0nYWAHQRAjcA9LScTG2bNrfCK0Pmv70ml1gnY+YjTsvO3bTiA+g+BG4A6GlZ2WXCaFjWDvebOQtFLhExrdaJOq3W/QOr7K2F9xkBLA4E7i6SzztTX1+fLFnS3btGr59eT72+ALpYerspJxFZJQMLKou6LfPTssuZUV10jcTUf8LxrTJK3gbQhQjcXeQ731kid911gMRisa67WLLcv/3bv5l+uW+88QCZmemzcwF0m9zunc6N2BqJOrcWCLdlPiZr6q54VCbV2X+GtA2gSxG4AaCHZZ3UqvL2worb6kxBzKnCgjtRAIBKBG4AqCeXlsSIrid2esJorHe9nKQTIxKxr6nfe0aTzy9Zp2pd/uXEaeAOS83rJRtaVpua3Ia5qW2iTxU6cqGnfW9n29rtm0irrROknHpbtT9N7ymNfWYAvYvAvQg89NBD8ra3vc3eA9AUHZpCQzKWdFqKdU3x2LpEnbCmu6kLydBY0oRG/Zrk0IhUz9BNPr9indQrxtb5BDq3LKNG/XbDy0rLiA6PkbLPXhakR9I+W6bpbVjoWWV6LGSXXTQVnY2kR5z3rRpmi9676BNKcmxIQj5nNeZCzUitfdWAXEJtq5CEhtT+9N50Wnq2V0YAdRG4e9yePXtkeHjY/JfQDTRJhzUdmiQssVRW8vm8ZFMxnQIlVCPkpUdCppu6cCwl2XxW4mE9Nynbq6S4pp6vwlzpOqXMBYO+3LKM8ErxbSduYlmmL+9CYnXo15cF6eTQ5tKw2uA2dHokcUO1sz2qKbR6p2W7c0WoP+/zqdfE9bbNe+/vbOKhsl8S0rJZv/H0TintXTCnPkadkwqX+rx9oTGzrcLhmKSyzmfW0yS1McCiReDucccdd5x8+ctflpe97GVy880327kA6ioKa7FURoUlp4m4P7TSCWtV6OCoXqZfJBmVsPrV/w2vrf6K5p6flhEV5krWyQvVa6WiR7zsLvNcWTWgllquyWVZ4bXDdlnu690gnZVUrGy9m9iG/QNrK7erCqzxlArKKrRms05o1ZN3caS7vr4t+MWfT79Gb1tHf3RStjpnNZL0PaspbY3WJ0RDJScVfr8AKPbzqhVX652VTGZSov0VKwZgESJw9zjdfd/AwIBMTU3JsmXL7FwAteUksc4Ja+F4tkrLpE/IU4FrnWmajUmq6EX9wzpM+tRRN/l8d8TIwjoV1jO2adQnVDv86qCbXZZ78eUq86F1CcyQer0Kllk3SPdLdDKjArEKmeaZTW7D6KhkbKDO2jAc2zQpo1EVlFVo9c2t7gmFz4WV7udTadv3vb2+u3fuVmtarrDt3RMip4Vcn1Touf7lIW7duVpxtd5+KwxgsSJwLwI6dB9xxBH2HoB6vJELdatzWVdzXqjyKdNIb3YD5sbSANivw2Smoo/o5p5vyx1UON9kHtCh15aiVAm0bpeATkgu1uyySi++dLdPrX6vW92G+r2c+u06F3oq7uerPKFwP586Idjos2G0mr9UuCcCdjnmMzi/PkTXOEU3/i3jVnK7eiUAFBC4AaBErbDmPqaUl2nkEjLuNKnaEFtHs893B7DRrbnqtfqiPL0qOiBX63/abZWu0MKyHDqIFofQas9tcRsaDVzoaTmfz2d0Sffz1SiN8UJ/8TqU1bynR3QrfumvD15Q92kZ7x/dJE5VTVKGbK13jWpvAIsIgbuL/O3f/q2cd9558sUvflGuuOIKO7c76cF57rnnHrnhhhtk9erVdi6w8BVKETZVtkibAOYob1UtlBM01m90s89P26sDwzvHnYvyVBCMZ1sb7KX5ZbkhWGS32T41Wo6VVreh4YbeutvFbXWvDOZey7dXb16u0AuKb//kOoTbE6LKXx8G1DtWE5XJjFvLrmu9Q+bC0JoXWQJYFAjcXUSXfejpueeek6efftrO7U6//OUvZd++feZizEMOOcTOBRa+agPFeLW8Yb9ChDoBrkLzz7cZ0nQzF9P1xJnJquUctbWzrKSMmdbtyiBdrLVt6HBPRHzDeInCSUC5qi37llfuEo5LyXmDrQnX7+2U+9T49WF6l1oDP7aWPZuSeFHwjtTviB1ADyNwA4DH7WautH5YB8WQSmi65GLrWmfetG+nyvXrjks1/3xzkWJRjxsFTtd1hVxXCNb+mllWsdqt2+1uQzcsV9adV+FTBx5a6QR6v+XrwWj0epjPsbX04lCv5n3XZnuhZFnrthESZ/HVu3k0+qMyqoK32wXhdHK8el/hAHoegRsAqnKCpwlotmbZ692iqQvj3FEkGx1Qpfnnm4FzVEhsLsD7qbOsGnXR/jqzDc2ojcV9n3tdAlYqLL8o5NoBevRgNDps624Kyxuv3bCfTJq0LVt9W7cL3TYmh2y/4TVar3UXhJvKOzfXfXXbPr0TxS/t1HwAXYfA3WU++MEPytjYmHzlK1+RK6+80s7tLh/60Idk165dcu2118of/dEf2blAL4iK0wnFtIyFdJBx+l/WA9Lk3QvnomvE9lMhQ96IhP3iZDz1us3FQ4a7wdkZRXJVyu0yr43nl4zQWHj+2LR/iNR2lozi0t6y/C90LNbqNiylewEx61YUlKfrlLJ4ohvt4EHuOqjJG6DHtuxXNF2X/iJQq5vFwsWRih7cxrb453JF21ndTif0Bal95uSl+ETFbUnX67fL3tI6NR9AF8o3aHZ2lmmOpn/+53/OL126NH/MMcfkzz///PyePXuanm699db8wMBAfmZmpmT64Q9/mD/qqKN8X9PI9Pa3vz2/bNkys3533XWX7/p3+3TxxUvze/c+5/tYr01oRSqvwlRe//OowlQ+nsra+QXZeNg8Ho7F896jqZjzGr9JL6d8Mc0+PxvPq4zX+POVVMx5PFz+YNPLyuZVgDWPVyzLV4vbUKuyXVRgL32e9xli6t38ZNWinPcwUzicj8XLllHG217qvZpT2D5+U8W6m8+o16dsbTo1H0DXIXB34fTwww/nzzvvPBNq161b5xt8601BBe7Xve51Zr22bt2af+aZZ3zXv9snAjeCklUBqDjIhquETVezz9ch0wuyetIhUj2/2iucUBv2DePNLssJo1WW1WGlQbnaNrEhNxyvErjnlnsC4UxhZ1/WCfgAFo8+/T/qH4i6GnwaOuTRRx+Vyy+/XK677jp53/veJx/+8IftI4154IEHTOlHOl36Y+2vfvUredvb3ib33nuvndM4vQ533HGHKXV5xzveIYcddph9ZGEZHz9ILrjgKTnwwJfYOb1L/5QOAADmFzXcXerYY4+VV73qVfLEE0+Y0D3f/XLrsH377bfL888/L8cff/yCDdsAAABzjcDdxd75znfKRz7yEdPn9fXXXy+JRMI+Mrd0S7kO27/5zW/k6quvlhUrVthHAAAAUA+Bu4u9/OUvNz2WfPSjHzWhW4/qGI/H7aNzozhsX3PNNXLmmWfKsmXL7KMAAACoh8Dd5XTo1kO+b9y40YRuPez7n//5n8tnPvMZ+4xgjIyMmPfRYXvv3r3yL//yL4RtAACAFhC4F4BXvOIVpob6/PPPN6H7e9/7ntx0002yefNm+4zO0mH7zjvvNO9THLap2wYAAGgegXuB0KFbl3ekUim58MILzcWUX/7yl+Xcc8+VT33qU/ZZ7fnABz5glqd7InnhhRdM3bh+Px22Dz30UPssAAAANINuARegRx55RLZs2SKXXHKJuX/UUUfJ6173OnNbe/WrXy3nnHNO3W4BX3zxRTOypevb3/627N+/39zWYXvNmjVyyCGHmPu9hG4BAQDAXCJwL1A6dP/nf/6n/OhHP5KLLrrIznUcfvjhpieRxx9/3Ddwv+lNb5LVq1fL7OysfOtb37KPOL70pS+Z0pG3vOUtcvDBB9u5vYXADQAA5hKBe4HTA+ToWmtXNpuVj33sY+b27/zO7/gG7je+8Y0mTN944412bsGpp56qguiB9l5vInADAIC5RODuMTpQ33XXXfI///M/ctVVV/kG7j/5kz8xvZ2cfvrpdu7iQuAGAABziYsme4yu59a11yeffLKdU0m3YC/WsA0AADDXCNwAAABAgAjcAAAAQIAI3IuA7rP70ksvtfcAAAAwlwjcPU6PTHnxxRfLtm3b5J/+6Z/sXAAAAMwVAnePOu644+Sv//qv5fOf/7zpk1tfKKkHxLniiivk8ssvt88CAABA0AjcPeroo4+WP/3TP5W7775b3vOe98imTZvM/X//9383w7cDAABgbhC4FwE9cuQZZ5xh7wEAAGAuMfBND9OD3FxzzTXywAMPmPtLly6Vk046ST74wQ+a+4sVA98AAIC5RAt3D9OD4HzgAx+Q/v5XyhNP3EzYBgAAmAcE7h535JFHyvr175M3v/lQwjYAAMA8IHADAAAAASJwAwAAAAEicAMAAAABopeSReDJJx+Ua69dLRs27LFzus/3v/99ufXWW+29YN1110XypjddKAcccKCdE5w/+ZM/kXA4bO/NPXopAQBg/hG4F4GFELj1CJjnnXeevdc7xsfH5fzzz7f35h6BGwCA+UfgXgQWUuBetWqVvOUtb7FzF6677rpL7rnnHgI3AAAgcC8GCylwr1u3Ti6//HI7d+G68MILZXJyksANAAC4aBIAAAAIEoEbAAAACBCBGwAAAAgQgRsAAAAIEIEbAAAACBCBGwAAAAgQgRsAAAAIEIEbAAAACBCBGwAAAAgQgRsAAAAIEIEbAAAACBCBGwAAAAgQgRsAAAAIEIEbAAAACBCBGwAAAAgQgRs9ad++ffLtb3+76rRnzx555JFHZHZ21r4CAAAgGARu9KRnn31W/vmf/1nGx8dlzZo1cuaZZ5r77nT77bfL1VdfLb/4xcOEbgAAECgCN3rS0UcfLV/72tfki1/8orl/4IEHyte//nVvikQictVVV8lXvnKz7N271zwHAAAgCARu9Ky+vj4TtP2EQiFZsmSJpFJfN+UnAAAAQSFwY1F75JFHKSkBAACBInBjUcjn83LvvfeWTC972cvkk5+8VA477DD7LAAAgM4jcGNReOGFF+TDH/6wN33oQx+Ss88+W044od+UlgAAAASFpIFF4aCDDpK7777bm3QvJccdd5x8/OMfl5mZGdm/f799JgAAQGcRuLEo6QB+1llnyX/+53/K5OSkPPfcc/YRAACAziJwY9FaunSp+e9Xv/pVef75581tAACATiNwo6fpiyX96BKSX/ziF6aHkne/+91y6KGH2kcWs5ykEyMS6eszXSo6U0RG0jn7OAAAaAWBGz1JB2o9fPtPf/pTc18Hb33fnXTd9vbt2+WYY46R97///QRuFbYTkZAMjSVl2s5xTEtyKKRCt70LAACaRuBGT3riiSdkaGhIzj33XHnlK19pgrW+706JREJe8YpXyK233iqvfe1r5YADDrCvXMBm0pJYH5HIkiWm5xU9RVRSbqR9Oj0SkjGdtGMpyaqTE32Cks9nJRUPm8eT44mGlgMAACoRuNGTdB/b9913X9XpyiuvlDPPPFOOOuqoHugWcEbSKmgvCQ3LhuQO2WHnatPJIQnVDd052b1T/zcs8Y1R6TfztH6Jjm6SmL45vUuyZh4AAGgWgRtYyGYSsj4SkmEVtEUGJTYxJdnZWZmdzcpUbNB5jgrd6xK1Ine/jGZ0i3ZGRgtp2wrJSqeRGwAAtIjADXQbWxrilIVEJDFj55dLr5cloQ3iZO0JmcpmZMtoVJabB5dLdEtGsrYkZHpsndTM3AAAIDAEbqCbqBAdsaUhjh2y4dyE+GbugRWi27AHY1OSzYxK1EnaJfqH14qN3LKrlZqQ9GZb271Gos4cAADQJAI30C102B5Oqog9KLGprOmyMDsVU5l7g4T8WrqXj0pGPSezxW3V9pHdZXsdicmaZhJzLi2JkYj0DSXVHae2GwAAtIbADXSDmYQN2yoaT2Vki22uXm5bsVszI4lxHZhVZI5vbKiFOpcekUikT/pCQzKWVFE9HJN41q+2GwAANIrADcw7FYzP3WDC9uBEVoVtZ26pE2WgajO2v/R629VfOC5bG0jM6ZE+CQ0lZVrnbBW0U9ms5DOThG0AANpE4Abm2UziXNngNG1LZrQ0Vc98Y5vTzd/gChkwcxozk4jIsGncVsE5M1rU1V8VuYSYxnAVznU/3BkVtKP9JG0AADqBwA3Mq7RsNml7UCYq6qTdx5QTB6rXaZfRfXKH7DLjWRWcndk15aa2mVrv8Nrh+uEcAAA0hcANzKOZxLg4DdGbpKxxWwXnYecxZXBFI+3begCcJV6f3BNN116HZe0wcRsAgE4jcAPzaPf9Tgt27IzSdmi3JGRwsLFLJmfS7gA46s5gzPTJXR7ga+kfzVQZ+AYAALSLwA3Mm7TcYpqwB6W4AVuHbV0Soi+gvH6tM2/H/budG2VmZtIqaC+R0LAzAI7TJ/cW3z65AQDA/CBwA11Dl4TY+mt7AeXygROdh5K3qHhezD43NOyMNGntSA5LyIxQ6Ux9fX0+00jZsgAAQJAI3MC8icoZMf3fHbIhpAOyLgnZYVqpZ92+AaNniHmKJGU4st4G5RlJmPKRoqTdsLCE46WjRpq+t/siDP0OAEBACNzAPIpumZKYW6Y9GJOJqawZObIgKhsnnCcMnmi7BkxvdroRNAYlNjEhU9msZLOzZnTK4imfz5dNGcmMFi8/LZt139vq/8ZChG4AAIJA4AbmVVS2ZGxAzmyRUZ/i6+WjGfN4ZstoSdeAg7EJyc5mZMvoqESXLxf1/y0IyZpY2NwKxzYJnZQAANB5BG5goYlu8Q3gremX6KTuoSQvmckofXADABAAAjcAAAAQIAI3AAAAECACNwAAABAgAjcAAAAQIAI3AAAAEKC+vO6eoAENPg1d6MknH5Rrr10tGzbssXO6zxVXXCHnnXeeHHXUUfKKV7zCzl24Hn74YXniiSdkfHxczj//fDt37umRJQEAwPwicC8CCylw9xoCNwAAIHAvAgshcD/66KPyv//7v/Ze73jlK18pL3/5y+29uUfgBgBg/hG459nnPvc5uemmm+y9YOzfv1cee+x+Ffx+z84J1kUXXSRvfetb7T3MJwI3AADzj8A9zy644AKZmJiw93rDDTfcIGeffba9h/lE4AYAYP4RuOeZDtz64rq1a9faOQvXJz/5Sfnud79L4O4iBG4AAOYfgXue6cC9bNkyGRsbs3MWrve85z2STqcJ3F2EwA0AwPyjH24AAAAgQARuAAAAIEAEbgAAACBABG4AAAAgQARuAAAAIEAEbgAAACBABG4AAAAgQARuAAAAIEAEbgAAACBABG4AAAAgQARuAAAAIEAEbgAAACBABG4AAAAgQARuAAAAIEAEbgAAACBABG4AAAAgQATuReL555+X7du3y6c//Wk7B3NiJi2J9RGJLFkiS+wUWZ+WGfswAADofQTuRSCfz8svf/lLueyyyySZTMozzzxjH0FwZiStgvaS0LBsSO6QHXautiM5LCFCNwAAiwaBexHYu3ev7Ny5U44//njZv3+/7Nq1yz6CQMwkZH0kJMMqaIsMSmxiSrKzszI7m5Wp2KDzHBW6z00QuQEAWAwI3IuADtw/+9nP5K/+6q/kN7/5jVxzzTX2kcUmLet1WUckUdm6nF5vyz7Wq2e1QS1nSWiDOFl7QqayGdkyGpXl5sHlEt2SkeyEE7p3bDhXyNwAAPQ+AneP27fvBdmz5yHTur18+XJZvXq1fPOb35Rnn33WPmMR2rFNvlEcdHVIHk7aso+kjPumYFsiUi2wuwZWiI7Tg7EpyWZGJeok7RLLT1trnqNWRO7fbW4AAIAeRuDucb/+9a/lBz/4gfz+7/++HHroofL+979/8ZaVzOyW+8yNE2XAC8JpWa/CdrEdPik4vd4tEVF2bJDN1ZrBl49KZnZWMlvcVm0fu++34T4mZ0TNDQAA0MMI3D3sxRdflF/96glZtuxQOfzww2Xp0qWyYsUKM//OO++0z1pEvKBbkF4/LCZuD05IdmrCaXm+b3dpC3Z6vQrb9raVvKXVwpMZSYw7Cxuc2CjkbQAAeh+Bu4fp3kjS6bTce++9cuWVV8pVV10l27ZtM4H7P/7jP0xXgYvJzG6nfVsGV8iA/u9MQpzsG5OpzKgsjw7IifpuiUJAjk1lZXYqZm5XhPIG6ZbyDba++/rRqm3gAACghxC4e5QO1Y8++qg88sijMjs7Kz//+c/N9Ktf/UrOOuss+clPfiLZbM4+e5E5cUCW6yB97gbT4h2b2mJbmgdkhW7i3nG/eEUl6c1OQI5NyRZdkG1rtFsxk4jYlnIb8M1cAADQ6wjcPUpfFKnrtM85511yySWXlEx/93d/J8cdd5zcdtvt9tmLw+77beW0LpwuCdJmtg+3dVsFZPdJy20reHEob4C+4DLkNG3LRNYN+AAAYDEgcPegvXv3yczMg/LQQw/JCSeY4glPX1+fHH300TI4OChf//rX5P/9v5/aR3rdjDgVJYOyYsC9UFKF3401oq8N5YUWcM22gst9sruhmhLdu8kSr0/uiWxGqCQBAGBxIXD3mMcff1z+5V/+Ra677loz2M1XvvIVeeGFF+yjTp/cX/rSl+Sxxx5Tj98nV1zxWfXc60z/3L1tt9gGbtl2rr1QMrapLPwulwHTfK3DtA3lgxPin8nrd+k3k3YHwFF3BmOmT27CNgAAiw+Bu8fobgAfeOB+WbKkTw4++GD57//+b9MNoEvXdt93333yspe9TN71rndJPv+i/OhHPzLz9RDwvW+H7DDBu6hMpMIO2RByQnlsU3mttRvKq/dUMqPDemSJhIadAXCcPrm3+PbJDQAAel+fClkNpazFEca0GUknNsv4BncgFG1QYlPXOxfNddgFF1wgy5Ytk7GxMTtn4XrPe95jekW54YYb5Oyzz7Zzu4UeZdK2bCuDE1nJ+DQ36wsbnVprRQXlWb9QbgfK0cdFaYmILh85t9Bfd1PUCcBs52u7dQkRAACYX7Rwl5iRhC4BKAnb2g5JDodkfVtjfqN7xGRTldoObxRI3S93tRbw6BlqCZpuCV+ijgtdzG2PnZbC9qB6uzO4kBIAgB7V04HbqaFdIksaTMpeH8m6BGB21nSnNzublakJpyO45HiNIb3R5aJyhknJ+teKGi3JdqTI2Zrd9kVly1TMBnM9WqR6ptvriaHeY2JCprJZyWbd46jWlJHMKHEbAIBe1ZuBu6yGVpK3SP3IXejFQvdcUQhbyyU6uslp0WyyKzh0l+gWJ9xW7wawCdEtNpiXhvfB2IQ6WVPvMToq0eXLRf0/AABY5HoqcLsXqy3RF7wV/bLf2BDay2U04wSyymoDtys4oAoVwHVrdWYLA9oAAIBS3Ru4VXhOrI/IkiUqQC+JSKJqLYe+yHG9RNTzQm7QHozJxNSUOJUgg7L2NCIQAAAA5kd3Bu60CtAqPG/wmql3yIZzq9RPz3zD9igyaH7On9I1s5ktoktiTb/Lg2ul7bztjUrIhW0AAABoTvcFbh22h50AHZvKmp/ps1Mxlbk3SMivpdu9yE1feLZF183a+TO7xZRknzjQ+k/8bit7I6MSAgAAAD66K3DPJGzY1h2F6IvbnKi8fGCFirtN2n2/s5wzmg/JMzr021pw08quS1QYJRAAAAAt6KLAPSOJczeYkKwHJfHvSeJEGWgw9M6YLkcGZcWAc79R6fW6dxMV+nXONsNxZ50SFcI2AAAAWtA1gXsmca7XB3b5CIAz39hmgrgMrpBG8/NuU8DdeEA3ZhIybqpHdNdus5Ixw3GTtAEAANC6Lgncadls0rZfnbT7mNJwPbbtU7uJgK65wX5w7Wl07QYAAICO6IrAPZMYF92wLLFNFaUb6fXDzmPKYMP1IbudHkpaQjeCAAAA6JyuCNxO+UflBY4ziYjoDkIGB5u8ZNLtocTSA+LovrrXRyKmv27dt7ffaO/LRzNVBr4BAAAAWtMFgTstt5gm7NILHHXYDm3YYS6gvH6tM2/H/Y0MrD4j6c225tt0JegMiDO8ISnJHTtkhwrvur/uM5q8mBIAAABoRddcNFmgAvN6J2y7F1AuHzjReSh5i4rnfmZkJu2OTBmS4ZJx3WMyMTElWT0gju6vO1PWXzcAAAAQoC4I3FE5I6b/u0M2hHS5hxOYB1XYnnX7BoyeIeYpkpThyPqi0D0jCd1ftnpNaFj3ma0yuh5tsmhY94nrt8joaFTqdTZi+t6uOYQ8AAAA0LyuaOGObpmSmFumrVukp7KSKemIOyobnQQtgyf69TzijkqZkS269ToaldGMM/pkY/XYadlsBtzRoZ/QDQAAgM7pkpKSqGwxAVmXfGyRUZ96D+eCxllTDlJ4dLkXrN1RKVszIGfYxD8Y2yR0UgIAAIBO6cIa7vmwXKJb3EAfpQ9uAAAAdExfXrG3a2rwaWjSBRdcIC+++KK8733vs3MWro985CPyrW99S2644QY5++yz7VzMp76+PnsLAADMFwL3PNOBe2Jiwt7rDQTu7kHgBgBg/hG459kll1wiX/jCF+y93nDFFVfI29/+dnsP84nADQDA/CNwAz2MwA0AwPzjokkAAAAgQARuAAAAIEAEbgAAACBABG4AAAAgQARuAAAAIEAEbgAAACBABG4AAAAgQA33ww0AAACgebRwAwAAAAEicAMAAAABInADAAAAASJwAwAAAAEicAMAAAABInADAAAAASJwAwAAAAEicAMAAAABInADAAAAASJwAwAAAAEicAMAAAABInADAAAAASJwAwAAAAEicAMAAAABInCjIbl0QkYifdI3krZzAAAA0Ii+vGJvA5VyaRlZNyTJaXtfYpLKT0rU3gMAAEBttHDDV04Hbd2iHSoO2yLh+EbCNgAAQBMI3AuGCsB9KgBHEpKzczzpEYnox/pG1LPakZN0wllWyA3a4ZjEUymJh/XjYVk73K9vAAAAoEEE7oVmeptMFSduFbb7hpLiNEInZTxREccVFaRHIiqQVwnsrtyUjI/pZYVVzo5LKpuXfGZSRqMiu0z4XivkbQAAgOYQuBeK3G7ZaW6skgEv9KZlRIXtYtO7svZWQXokJENuXcj0mGyu1gzePyqZvArZ+YxkJkcl6r6P+96rBoS8DQAA0BwC90KR3WVbsQvSI0Ni4nY4LtlUXEzVx87dpS3Y6REVtu1tK7m9ycIT+96xNVRvAwAANIvAvUDkdjvt2xJeKSH931xCxk2QjkkqMyr90QFZpe+WyEnCeZLEUlnJp2LmdkUor8N577CsNG8MAACAZhC4FxpT1qGC9Loxp9U55XbRF5KVuol7epd4RSXpzTLmPEkmdX1IaKXTCt6krCngLi5lAQAAQKMI3AuEE3ptWUdJkDazfbit2zFJuU/qt63gxaG8rpw4Ddy2ZR0AAABNIXAvCDb0mrIO90LJsMQ31qiptqG80AKu2VZw2Sm7G64pyTo9lAAAAKAlBO4FoRB6t+lRH/WN2CYZLSnx6JcB03ytw7QN5eG4+GfyafHpzMSf1zuKQw+Io/vqHolEbN/ffcJo7wAAANUxtPuCoAe9sUHb8B9ePT3SV9IjSSyVryg58Z4TS0m+ej2KpfvvXlfoUrBcOCzhVWtl08aiLgQBAABQghbuBaja8Oohp17EUaW+O7rG9lSSHBffMXJUyM6l05IwA+UU9d+t6VEn4ynJ6gFxdH/dmbL+ugEAAFCBwL3gxGRTaS2Jp394rdMLie6Xu1rrdXSNWoI2LWMhXQ7ipu6cJCK6RCQkoaEhGUuqd9KjTRYN6x7fOimjo1HpJ2ADAAA0jJKSBcIpBQlLLJWp0TNJg9IjEhlKynRY9+HtlqbowB2SsWn9HludbgQBAADQNgI3AAAAECBKSgAAAIAAEbgBAACAABG4AQAAgAARuAEAAIAAEbgBAACAABG4AQAAgAARuAEAAIDAiPx/RNiqGl69QbQAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": "601f0f92-a648-4fb6-9121-05b6619d8def", - "metadata": {}, - "source": [ - " ![F300.png](attachment:fc130be5-e694-4fc4-811a-cbc535b3f925.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 49, - "id": "75f9ee8f-4cd8-44ce-b943-0b451e4f721f", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "id": "a2a1b147-d214-4c19-bb50-a86d8227d65b", - "metadata": {}, - "outputs": [], - "source": [ - "P1=mparticle(m=m1,g=g)\n", - "P1.add_forza(m1*g,-pi/2)\n", - "P1.add_forza(T+T1+T1,pi/2)" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "id": "51c2a2f2-445e-429c-b74e-50c64c47f1bc", - "metadata": {}, - "outputs": [], - "source": [ - "P2=mparticle(m=m2,g=g)\n", - "P2.add_forza(m2*g,-pi/2)\n", - "P2.add_forza(T1,pi/2)" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "id": "5605f3be-0e2f-4e1b-90cb-d1bf2ba13de2", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle a1 =\\frac{T + 2 T_{1} - g m_{1}}{m_{1}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "a1=MyEq(P1.simple_ac('y'),'a1',Pobj=P1)" - ] - }, - { - "cell_type": "code", - "execution_count": 53, - "id": "0a926433-35fb-4682-9b15-02577de4990c", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle a2 =\\frac{T_{1} - g m_{2}}{m_{2}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "a2=MyEq(P2.simple_ac('y'),'a2',Pobj=P2)" - ] - }, - { - "cell_type": "code", - "execution_count": 54, - "id": "2329ed20-0486-408e-84ff-3264eb8e9f00", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Ea =\\frac{- 2 T_{1} + 2 g m_{2}}{m_{2}} + \\frac{T + 2 T_{1} - g m_{1}}{m_{1}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Ea=MyEq(a1-2*a2,'Ea')" - ] - }, - { - "cell_type": "code", - "execution_count": 55, - "id": "2f0e2967-0110-47de-84e5-b99bd807e7fb", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =\\frac{m_{2} \\left(T + g m_{1}\\right)}{2 m_{1} - 2 m_{2}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T1=Ea.solve(T1,'T1')" - ] - }, - { - "cell_type": "code", - "execution_count": 56, - "id": "95d5bf42-22de-4b96-91a5-d1331e2ac86f", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle a1 =\\frac{T + 2 T_{1} - g m_{1}}{m_{1}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "a1=MyEq(P1.simple_ac('y'),'a1')" - ] - }, - { - "cell_type": "code", - "execution_count": 57, - "id": "a43833f8-0838-4439-8262-724479332136", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle a1 =- \\frac{- T + g m_{1} - 2 g m_{2}}{m_{1} - m_{2}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle a2 =- \\frac{- T + g m_{1} - 2 g m_{2}}{2 \\left(m_{1} - m_{2}\\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "a1.upgrade(T1,kope='esf')\n", - "a2.upgrade(T1,kope='esf') " - ] - }, - { - "attachments": { - "830a0017-2e5f-431a-aac9-60ab82dc96db.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": "c83ff847-7b7c-4a1c-b4c2-5d24e39be997", - "metadata": {}, - "source": [ - " ![line.png](attachment:830a0017-2e5f-431a-aac9-60ab82dc96db.png)" - ] - }, - { - "attachments": { - "ad64d2a6-a6bd-49a4-aa92-fa1e9f61ccd2.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "c4124a20-fa2b-4878-9c4a-c0c29f3ee6e9", - "metadata": { - "tags": [] - }, - "source": [ - " ![F500.png](attachment:ad64d2a6-a6bd-49a4-aa92-fa1e9f61ccd2.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 58, - "id": "d3533d95-042e-4e21-b67b-29964c5cb9a0", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 59, - "id": "d8cca8ed-9e7d-4815-a93d-4dd411ee031d", - "metadata": {}, - "outputs": [], - "source": [ - "P=mparticle(m=m,g=g,r=2*L)" - ] - }, - { - "cell_type": "code", - "execution_count": 60, - "id": "3837cf34-cf8d-47ae-acf0-37d4c5d60abf", - "metadata": {}, - "outputs": [], - "source": [ - "P.add_forza(m*g,-pi/2,2*L,L/2)\n", - "P.add_forza(F1,0,2*L,L/2)\n", - "P.add_forza(3*m*g,-pi/2,2*L+3*L/2,0)" - ] - }, - { - "attachments": { - "5a251376-2f17-4597-a2d1-f6d0cdec2e87.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "e8d48c6b-029e-4e5d-8213-b5c5316cb7b9", - "metadata": { - "tags": [] - }, - "source": [ - " ![F500a.png](attachment:5a251376-2f17-4597-a2d1-f6d0cdec2e87.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 61, - "id": "24c4f278-7e85-4fa2-89c4-83aa7a515969", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle F1 =- 2 L m w^{2}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "F1=P.fcentripeta('F1',kdire=-1)" - ] - }, - { - "cell_type": "code", - "execution_count": 62, - "id": "8bf75d77-62ab-47f0-adf3-8a1d80a58d3e", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle To =\\frac{F_{1} L}{2} + \\frac{25 L g m}{2}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "To=ToQ(P)" - ] - }, - { - "cell_type": "code", - "execution_count": 63, - "id": "4edaf356-074b-431a-8f56-feca7b393d7f", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle To =- L^{2} m w^{2} + \\frac{25 L g m}{2}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "To.upgrade(F1)" - ] - }, - { - "cell_type": "code", - "execution_count": 64, - "id": "1769f7b1-6eed-4864-a6ff-d9675ef9dc5b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle w1 =\\frac{5 \\sqrt{2} \\sqrt{\\frac{g}{L}}}{2}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "w=To.solveR(w,'w1')" - ] - }, - { - "attachments": { - "830a0017-2e5f-431a-aac9-60ab82dc96db.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "73e981e6-323a-48f4-b58f-38f059e9d6fa", - "metadata": { - "tags": [] - }, - "source": [ - " ![F800.png](attachment:a837d208-b935-43a5-a46b-f0b86750d3c0.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 65, - "id": "18fab0df-03b3-44ab-8450-f9fbd5fb69ef", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 66, - "id": "5b88e9fa-68be-42e6-a0d8-ab52646bdf39", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "m,alpha,g,N1,F1,a1,a2=symbols('m alpha g N1 F1 a1 a2')" - ] - }, - { - "cell_type": "code", - "execution_count": 67, - "id": "124e16b4-0e5c-4daf-9fd7-e353c02dd54c", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =- F_{1} \\cos{\\left(\\alpha \\right)} + a_{1} m + g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "A=mparticle(m=m,g=g)\n", - "A.add_weight()\n", - "A.add_forza(F1,pi/2+alpha)\n", - "e1=e1Q(m*a1-A.y_res())" - ] - }, - { - "cell_type": "code", - "execution_count": 68, - "id": "7ec35fbf-c20f-4620-873f-f94fd8a52fc5", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle F1 =\\frac{m \\left(a_{1} + g\\right)}{\\cos{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "F1=e1.solve(F1,'F1')" - ] - }, - { - "cell_type": "code", - "execution_count": 69, - "id": "3ef299d4-e359-4e64-92c8-6c90d7d1ab49", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e2 =3 a_{2} m - \\frac{m \\left(a_{1} + g\\right) \\sin{\\left(\\alpha \\right)}}{\\cos{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "B=mparticle(m=3*m,g=g)\n", - "B.add_forza(F1,-pi/2+alpha)\n", - "e2=e2Q(3*m*a2-B.x_res())" - ] - }, - { - "cell_type": "code", - "execution_count": 70, - "id": "2ac99077-1a62-4ea7-b8e4-39c135bf1d1f", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle a2 =\\frac{\\left(a_{1} + g\\right) \\tan{\\left(\\alpha \\right)}}{3}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "a2=e2.solve(a2,'a2')" - ] - }, - { - "cell_type": "code", - "execution_count": 71, - "id": "fe2693e3-fdb6-4239-a49f-d86d564b96e5", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e3 =\\tan{\\left(\\alpha \\right)} + \\frac{\\left(a_{1} + g\\right) \\tan{\\left(\\alpha \\right)}}{3 a_{1}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e3=e3Q(tan(alpha)+a1/a2)" - ] - }, - { - "cell_type": "code", - "execution_count": 72, - "id": "45bf19a6-80c3-45cf-8457-609155e4274b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle a1 =- \\frac{g}{4}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "a1=e3.solve(a1,'a1')" - ] - }, - { - "cell_type": "code", - "execution_count": 73, - "id": "487d15cf-d5c1-4221-9f81-2f06baf68cfa", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle a2 =\\frac{g \\tan{\\left(\\alpha \\right)}}{4}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "a2.upgrade(a1)" - ] - }, - { - "attachments": { - "830a0017-2e5f-431a-aac9-60ab82dc96db.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": "2db24729-5864-4ac5-b569-f8003e6e33ed", - "metadata": {}, - "source": [ - " ![line.png](attachment:830a0017-2e5f-431a-aac9-60ab82dc96db.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 74, - "id": "075bbb4e", - "metadata": {}, - "outputs": [], - "source": [ - "# Ok here we go with a little advance from what come on...\n", - "# the system have have w angular velocity constan" - ] - }, - { - "attachments": { - "2da01a28-c150-47e5-b4a5-3a54efc61f78.png": { - "image/png": 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- } - }, - "cell_type": "markdown", - "id": "3d9b08f7-4d0e-43c6-ac05-f407b280f752", - "metadata": {}, - "source": [ - "![reg_cen.png](attachment:2da01a28-c150-47e5-b4a5-3a54efc61f78.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 75, - "id": "d6bc251a-b466-44a3-bc64-f6340c6d53e9", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 76, - "id": "840984ca-a9b3-4420-a6b4-39c061411a89", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle F_c =L w^{2} \\sin{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Fc=MyEq(w*w*L*sin(alpha),'F_c')# forza centripete\n", - "A=mparticle(m=m,g=g)\n", - "A.add_forza(T1,pi/2-alpha)\n", - "A.add_forza(T2,-pi/2+alpha)\n", - "A.add_forza(m*g,-pi/2)\n", - "A.add_forza(Fc.v,pi)" - ] - }, - { - "cell_type": "code", - "execution_count": 77, - "id": "d57b0bf6", - "metadata": {}, - "outputs": [], - "source": [ - "# I will use our MyEqSys library to manag Eq system\n", - "# take note that we will explain later........." - ] - }, - { - "cell_type": "code", - "execution_count": 78, - "id": "d62c0d25-4dfd-491e-949c-2e66739e8008", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e0 =- L w^{2} \\sin{\\left(\\alpha \\right)} + T_{1} \\sin{\\left(\\alpha \\right)} + T_{2} \\sin{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =T_{1} \\cos{\\left(\\alpha \\right)} - T_{2} \\cos{\\left(\\alpha \\right)} - g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# we will crewte our Eq to add system Eq\n", - "e0=FxQ(A,'e0')# Fx = cero\n", - "e1=FyQ(A,'e1')# Fy = cero" - ] - }, - { - "cell_type": "code", - "execution_count": 79, - "id": "19628001-e938-49d7-86b4-c4a165eab363", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =T_{2} + \\frac{g m}{\\cos{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T1=e1.solve(T1,'T1')" - ] - }, - { - "cell_type": "code", - "execution_count": 80, - "id": "c202529c-89ad-4d5e-b361-73e7d7af23e4", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e0 =- L w^{2} \\sin{\\left(\\alpha \\right)} + T_{2} \\sin{\\left(\\alpha \\right)} + \\left(T_{2} + \\frac{g m}{\\cos{\\left(\\alpha \\right)}}\\right) \\sin{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e0.upgrade(T1)" - ] - }, - { - "cell_type": "code", - "execution_count": 81, - "id": "1d54058d-7084-4109-8e25-8ebe974a4edc", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T2 =\\frac{L w^{2}}{2} - \\frac{g m}{2 \\cos{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T2=e0.solve(T2,'T2')" - ] - }, - { - "cell_type": "code", - "execution_count": 82, - "id": "4b920c57-f034-4d46-9f20-b88456ac3f36", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =\\frac{L w^{2}}{2} + \\frac{g m}{2 \\cos{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T1.upgrade(T2)" - ] - }, - { - "cell_type": "code", - "execution_count": 83, - "id": "d38d05b4-0fd7-48c1-a480-31fa61e21581", - "metadata": {}, - "outputs": [], - "source": [ - "C=mparticle(m=M,g=g)\n", - "C.add_forza(2*T2*cos(alpha),pi/2)\n", - "C.add_forza(M*g,-pi/2)\n", - "C.add_forza(K*x,-pi/2)" - ] - }, - { - "cell_type": "code", - "execution_count": 84, - "id": "caadeb67-2dde-4a3c-9e3b-81e163200655", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e2 =- K x - M g + \\left(L w^{2} - \\frac{g m}{\\cos{\\left(\\alpha \\right)}}\\right) \\cos{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e2=FyQ(C,'e2')" - ] - }, - { - "cell_type": "code", - "execution_count": 85, - "id": "6db6a42f-5ee1-42ca-bce8-28e5b7aa6b26", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e3 =- 2 L \\cos{\\left(\\alpha \\right)} + 2 L - x$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e3=e3Q(2*L-2*L*cos(alpha)-x)" - ] - }, - { - "cell_type": "code", - "execution_count": 86, - "id": "ed454b7e-8018-4e5b-a94a-c60728cd9081", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle x =2 L \\left(1 - \\cos{\\left(\\alpha \\right)}\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "x=e3.solve(x,'x')" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.6" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -}