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+{
+ "metadata": {
+ "name": "chapter 1.ipynb"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 1:Coplanar Concurrent Force System"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 1,Page No.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Declaration of Variables\n",
+ "\n",
+ "F1=1200 #N #Force1\n",
+ "F2=400 #N #Force2\n",
+ "\n",
+ "#Calculations\n",
+ "\n",
+ "theta=arctan(300*400**-1)*(180*pi**-1)\n",
+ "\n",
+ "#Components of F1\n",
+ "F1x=-F1*sin(theta*180**-1*pi) #N\n",
+ "F1y=-F1*cos(theta*180**-1*pi) #N\n",
+ "\n",
+ "#Components of F2\n",
+ "F2x=F2*cos(theta*180**-1*pi) #N\n",
+ "F2y=-F2*sin(theta*180**-1*pi) #N\n",
+ "\n",
+ "#Results\n",
+ "print\"Components of F1 is:F1x\",round(F1x,2),\"N\"\n",
+ "print\" :F1y\",round(F1y,2),\"N\"\n",
+ "print\"Components of F1 is:F2x\",round(F2x,2),\"N\"\n",
+ "print\" :F2y\",round(F2y,2),\"N\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Components of F1 is:F1x -720.0 N\n",
+ " :F1y -960.0 N\n",
+ "Components of F1 is:F2x 320.0 N\n",
+ " :F2y -240.0 N\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 1,Page No.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Declaration of Variables\n",
+ "\n",
+ "#Forces\n",
+ "F1=300 #N\n",
+ "F2=390 #N\n",
+ "F3=400 #N\n",
+ "\n",
+ "#Angles\n",
+ "theta1=30 #Degree\n",
+ "theta2=arctan(12*5**-1)*(180*pi**-1) #Degree\n",
+ "theta3=40 #Degree\n",
+ "\n",
+ "#Calculations\n",
+ "\n",
+ "#Components of F1\n",
+ "F1x=F1*cos(theta1*pi*180**-1) #N\n",
+ "F1y=-F1*sin(theta1*pi*180**-1) #N\n",
+ "\n",
+ "#Components of F2\n",
+ "F2x=-F2*cos(theta2*pi*180**-1) #N\n",
+ "F2y=F2*sin(theta2*pi*180**-1) #N\n",
+ "\n",
+ "#Components of F3\n",
+ "F3x=-F3*cos(theta3*pi*180**-1) #N\n",
+ "F3y=-F3*sin(theta3*pi*180**-1) #N\n",
+ "\n",
+ "#Result\n",
+ "print\"Components of F1 is:F1x\",round(F1x,2),\"N\"\n",
+ "print\" :F1y\",round(F1y,2),\"N\"\n",
+ "print\"Components of F2 is:F2x\",round(F2x,2),\"N\"\n",
+ "print\" :F2y\",round(F2y,2),\"N\"\n",
+ "print\"Components of F3 is:F2x\",round(F3x,2),\"N\"\n",
+ "print\" :F3y\",round(F3y,2),\"N\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Components of F1 is:F1x 259.81 N\n",
+ " :F1y -150.0 N\n",
+ "Components of F2 is:F2x -150.0 N\n",
+ " :F2y 360.0 N\n",
+ "Components of F3 is:F2x -306.42 N\n",
+ " :F3y -257.12 N\n"
+ ]
+ }
+ ],
+ "prompt_number": 14
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 3,Page No.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Declaration of Variables\n",
+ "\n",
+ "#Forces\n",
+ "F1=20 #N\n",
+ "F2=60 #N\n",
+ "\n",
+ "theta1=20 #Degree\n",
+ "theta2=25 #Degree\n",
+ "\n",
+ "#Calculations\n",
+ "\n",
+ "#Resultant\n",
+ "\n",
+ "R=(F1**2+F2**2+2*F1*F2*cos(theta2*pi*180**-1))**0.5 #N\n",
+ "\n",
+ "X=(F1*(sin(theta2*180**-1*pi)))\n",
+ "Y=((F1+F2*(cos(theta2*pi*180**-1))))\n",
+ "alpha=arctan(X*Y**-1)*(180*pi**-1)\n",
+ "\n",
+ "#Inclination with x axis\n",
+ "alpha2=theta1+alpha\n",
+ "\n",
+ "#Result\n",
+ "print\"Resultant of two forces is\",round(alpha2,2),\"degree\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Resultant of two forces is 26.48 degree\n"
+ ]
+ }
+ ],
+ "prompt_number": 28
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file