{
 "metadata": {
  "name": "chapter 1.ipynb"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Chapter 1:Vectors"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 1.1-1,Page no 8"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "#Initialisation of Variables\n",
      "f1=120 #lb\n",
      "f2=100 #lb\n",
      "theta=((60*pi)/180) #radians\n",
      "#Calculations\n",
      "R=sqrt(120**2+100**2-(2*120*100*cos(theta))) #Applying Thr rule of Cosines\n",
      "alpha1=(((arcsin(120*sin(theta)/111))*180)/pi) #Applying the Law of Sines\n",
      "alpha=alpha1+270 #As the vector lies in the fourth Quadrant by obsrevaton\n",
      "#Results\n",
      "print'The Resultant of The force system is equal to',round(R,3),\"lb\" #lb\n",
      "print'The Resultant is at',round(alpha,3),\"degrees\" #degrees\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The Resultant of The force system is equal to 111.355 lb\n",
        "The Resultant is at 339.43 degrees\n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 1.2-2,Page no 9"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "#Initilization of variables\n",
      "P=100 #lb\n",
      "Q=120 #lb\n",
      "theta=((30*pi)/180) #radians\n",
      "#Calculations\n",
      "R_x=Q*cos(theta) #lb\n",
      "R_y=Q*sin(theta)-P #lb\n",
      "R=sqrt(R_x**2+R_y**2) #lb Triangle law\n",
      "Theta_1=((arctan(R_y/R_x))*180)/pi #degrees\n",
      "Theta_R=360+Theta_1 #degrees\n",
      "#Result\n",
      "print'The resultant of the force system is',round(R,3),\"lb\"\n",
      "print'The resultant is at',round(Theta_R,3),\"degrees\"\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The resultant of the force system is 111.355 lb\n",
        "The resultant is at 338.948 degrees\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}