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diff --git a/Principles_of_Physics_by_F.J.Bueche/Chapter1_2.ipynb b/Principles_of_Physics_by_F.J.Bueche/Chapter1_2.ipynb new file mode 100644 index 00000000..7ecae444 --- /dev/null +++ b/Principles_of_Physics_by_F.J.Bueche/Chapter1_2.ipynb @@ -0,0 +1,201 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 01: Vectors and their use" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ex1.1:pg-25" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resultant R= 40.31 cm\n", + "\n", + "Theta= 120.0 degrees\n" + ] + } + ], + "source": [ + " #Example 1_1\n", + "import math \n", + " #To add the given Displacements Graphically\n", + "d1=25 #units in cm\n", + "d2=10 #units in cm\n", + "d3=30 #units in cm\n", + "R=math.sqrt(d1**2+d2**2+d3**2) #units in cm\n", + "theta1=30 #units in degrees\n", + "theta2=90 #units in degrees\n", + "theta3=120 #units in degrees\n", + "theta=360-(theta1+theta2+theta3) #units in degrees\n", + "print \"The Resultant R=\",round(R,2),\" cm\\n\"\n", + "print \"Theta=\",round(theta),\" degrees\"\n", + " #In text book the answer is printed wrong as R=49cm and theta=82 degrees but the correct answer is R=40.31cm and theta=120 degrees\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ex1.2:pg-25" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resultant R= 6.72 Meters\n", + "\n", + "The Angle theta= 170.0 degrees\n" + ] + } + ], + "source": [ + " #Example 1_2\n", + "\n", + "import math\n", + " \n", + " # To add the given vector displacements\n", + "a=1 #units in meters\n", + "b=3 #units in meters\n", + "c=5 #units in meters\n", + "d=6 #units in meters\n", + "theta1=90 #units in degrees\n", + "Rx_a=a*math.sin(theta1*math.pi/180) #units in meters\n", + "Rx_b=round(b*math.cos(theta1*math.pi/180)) #units in meters\n", + "theta2=37 #units in degrees\n", + "Rx_c=-round(c*math.cos(theta2*math.pi/180)) #units in meters\n", + "theta3=53 #units in degrees\n", + "Rx_d=-d*math.cos(theta3*math.pi/180)\n", + "Ry_a=round(a*math.cos(theta1*math.pi/180)) #units in meters\n", + "Ry_b=round(c*math.sin(theta2*math.pi/180)) #units in meters\n", + "Ry_c=round(c*math.sin(theta2*math.pi/180)) #units in meters\n", + "Ry_d=-(d*math.sin(theta3*math.pi/180)) #units in meters\n", + "Rx=Rx_a+Rx_b+Rx_c+Rx_d #units in meters\n", + "Ry=Ry_a+Ry_b+Ry_c+Ry_d #units in meters\n", + "R=sqrt(Rx**2+Ry**2) #units in meters\n", + "phi=round(math.atan(Ry/-(Rx))*180/math.pi) #units in degrees\n", + "phi=180-phi #units in degrees\n", + "print \"The Resultant R=\",round(R,2),\" Meters\\n\"\n", + "print \"The Angle theta=\",round(phi),\" degrees\"\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ex1.3:pg-26" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Resultant R= 15.5 Meters\n", + "\n", + "Angle Theta= 19.0 Degrees\n" + ] + } + ], + "source": [ + " #Example 1_3\n", + "\n", + "import math\n", + " #To subtract vector B from Vector A\n", + "Ax=8.7 #units in meters\n", + "Ay=5 #units in meters\n", + "Bx=-6 #units in meters\n", + "By=0 #units in meters\n", + "Rx=Ax-Bx #units in meters\n", + "Ry=Ay-By #units in meters\n", + "R=sqrt(Rx**2+Ry**2) #units in meters\n", + "theta=round(math.atan(Ry/(Rx))*180/math.pi) #units in degrees\n", + "print \"Resultant R=\",round(R,1),\" Meters\\n\"\n", + "print \"Angle Theta=\",round(theta),\" Degrees\"\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ex1.4:pg-30" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Volume V= 5.65e-10 Meter**3\n" + ] + } + ], + "source": [ + " #Example 1_4\n", + "import math\n", + "\n", + " #To calculate the Volume\n", + "r=3*10**-5 #units in meters\n", + "L=0.20 #units in meters\n", + "V=math.pi*r**2*L #Units in meter**3\n", + "print \"Volume V=\",round(V,12),\"Meter**3\"\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |