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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 1: Gravity"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 1 pgno:10"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Time period of the pendulum is sec 1.00303620705\n"
]
}
],
"source": [
"#INPUT DATA\n",
"L=1;#Length of the bar in m\n",
"l=0.25;#Length of the pemdulum in m\n",
"from math import sqrt\n",
"#CALCULATIONS\n",
"k=sqrt((L**2)/12);#Radius of gyration m\n",
"T=sqrt(((k**2/l)+l)/9.8)*2*3.14;#Time period of pendulum in s\n",
"\n",
"#OUTPUT\n",
"print'Time period of the pendulum is sec',T\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 2 pgno:11"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The acceleration due to gravity is m s^-2 9.8002855276\n"
]
}
],
"source": [
"import math\n",
"#INPUT DATA\n",
"T=2.223;#Time taken for 1 oscillation in sec\n",
"L=1.228;#Length of the pendulum in m\n",
"\n",
"#CALCULATIONS\n",
"g=((4*3.14**2*L)/(T**2));#Acceleration due to gravity in m.s^-2\n",
"\n",
"#OUTPUT\n",
"print'The acceleration due to gravity is m s^-2',g\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 3 pgno:12"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The time period of pendulum is s\n",
"Distance of another point from centre of gravity on bar with same time period is m 1.79428571429 0.2\n"
]
}
],
"source": [
"#INPUT DATA\n",
"l=1.2;#Length of of bar in m\n",
"from math import sqrt\n",
"#CALCULATIONS\n",
"k=sqrt(l**2/12);#Radius of gyration in m\n",
"T=sqrt(((k**2/(l/2))+(l/2))/9.8)*2*3.14;#Time period of the pendulum in s\n",
"L=((9.8*T**2)/(4*3.14**2));#Length in m\n",
"D=L-(l/2);#Another point where pendulum has same timeperiod in m\n",
"\n",
"#OUTPUT\n",
"print'The time period of pendulum is s\\nDistance of another point from centre of gravity on bar with same time period is m',T,D\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 1 pgno:14"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The minimum time period is obtained at cm -28.9035753267\n"
]
}
],
"source": [
"\n",
"#INPUT DATA\n",
"L=1;#Length of pendulum in m\n",
"B=0.05;#Width of pendulum in m\n",
"from math import sqrt\n",
"#CALCULATIONS\n",
"k=sqrt((L**2+B**2)/12);#Radius of gyration in m\n",
"D=((L/2)-k)*100;#distance of point of minimum time period from one end in cm\n",
"\n",
"#OUTPUT\n",
"print'The minimum time period is obtained at cm',D\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": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|
