From d36fc3b8f88cc3108ffff6151e376b619b9abb01 Mon Sep 17 00:00:00 2001 From: kinitrupti Date: Fri, 12 May 2017 18:40:35 +0530 Subject: Revised list of TBCs --- .../chapter22_2.ipynb | 282 --------------------- 1 file changed, 282 deletions(-) delete mode 100755 Engineering_Mechanics_by_Tayal_A.K./chapter22_2.ipynb (limited to 'Engineering_Mechanics_by_Tayal_A.K./chapter22_2.ipynb') diff --git a/Engineering_Mechanics_by_Tayal_A.K./chapter22_2.ipynb b/Engineering_Mechanics_by_Tayal_A.K./chapter22_2.ipynb deleted file mode 100755 index c5908132..00000000 --- a/Engineering_Mechanics_by_Tayal_A.K./chapter22_2.ipynb +++ /dev/null @@ -1,282 +0,0 @@ -{ - "metadata": { - "name": "chapter22.ipynb" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter 22: Kinetics Of Rigid Body:Force And Acceleration" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 22.22-1,Page No:562" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "# Initilization of variables\n", - "\n", - "N=1500 # r.p.m\n", - "r=0.5 # m # radius of the disc\n", - "m=300 # N # weight of the disc\n", - "t=120 # seconds # time in which the disc comes to rest\n", - "omega=0 \n", - "pi=3.14 \n", - "g=9.81 # m/s^2\n", - "\n", - "# Calculations\n", - "\n", - "omega_0=(2*pi*N)*0.01666 # rad/s #1/60=0.01666\n", - "\n", - "# angular deceleration is given as,\n", - "alpha=-(omega_0/t) # radian/second^2\n", - "theta=(omega_0**2)/(2*(-alpha)) # radian\n", - "\n", - "# Let n be the no of revolutions taken by the disc before it comes to rest, then\n", - "n=theta/(2*pi)\n", - "\n", - "# Now,\n", - "I_G=((0.5)*m*r**2)/g\n", - "\n", - "# The frictional torque is given as,\n", - "M=I_G*alpha # N-m\n", - "\n", - "# Results\n", - "\n", - "print\"(a) The no of revolutions executed by the disc before coming to rest is \",round(n,2)\n", - "print\"(b) The frictional torque is \",round(M),\"N-m\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "(a) The no of revolutions executed by the disc before coming to rest is 1499.4\n", - "(b) The frictional torque is -5.0 N-m\n" - ] - } - ], - "prompt_number": 9 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 22.22-2,Page No:563" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "# Initilization of variables\n", - "\n", - "s=1 # m\n", - "mu=0.192 # coefficient of static friction\n", - "g=9.81 # m/s^2\n", - "\n", - "# Calculations\n", - "\n", - "# The maximum angle of the inclined plane is given as,\n", - "theta=arctan(3*mu)*(180/pi) # degree\n", - "a=(2/3)*g*sin(theta*(pi/180)) # m/s^2 # by solving eq'n 4\n", - "v=(2*a*s)**0.5 # m/s\n", - "\n", - "# Let the acceleration at the centre be A which is given as,\n", - "A=g*sin(theta*(pi/180)) # m/s^2 # from eq'n 1\n", - "\n", - "# Results\n", - "\n", - "print\"(a) The acceleration at the centre is \",round(A,3),\"m/s^2\"\n", - "print\"(b) The maximum angle of the inclined plane is \",round(theta),\"degree\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "(a) The acceleration at the centre is 4.896 m/s^2\n", - "(b) The maximum angle of the inclined plane is 30.0 degree\n" - ] - } - ], - "prompt_number": 11 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 22.22-5,Page No:568" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "# Initilization of variables\n", - "\n", - "W_a=25 # N \n", - "W_b=25 # N \n", - "W=200 # N # weight of the pulley\n", - "i_g=0.2 # m # radius of gyration\n", - "g=9.81 # m/s^2\n", - "\n", - "# Calculations\n", - "\n", - "# Solving eqn's 1 & 2 for acceleration of weight A (assume a)\n", - "a=(0.15*W_a*g)/(((W*i_g**2)/(0.45))+(0.45*W_a)+((0.6*W_b)/(3))) # m/s^2\n", - "\n", - "# Results\n", - "\n", - "print\"The acceleration of weight A is \",round(a,2),\"m/s^2\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The acceleration of weight A is 1.08 m/s^2\n" - ] - } - ], - "prompt_number": 13 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 22.22-8,Page No:571" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "# Initilization of variables\n", - "\n", - "r_1=0.075 # m\n", - "r_2=0.15 # m\n", - "P=50 # N\n", - "W=100 # N\n", - "i_g=0.05 # m\n", - "theta=30 # degree\n", - "g=9.81 # m/s^2\n", - "\n", - "# Calculations\n", - "\n", - "# The eq'n for acceleration of the pool is given by solving eqn's 1,2 &3 as,\n", - "a=(50*g*(r_2*cos(theta*(pi/180))-r_1))/(100*((i_g**2/r_2)+r_2)) # m/s^2\n", - "\n", - "# Results\n", - "\n", - "print\"The acceleration of the pool is \",round(a,2),\"m/s^2\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The acceleration of the pool is 1.62 m/s^2\n" - ] - } - ], - "prompt_number": 15 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 22.22-10,Page No:574" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "# Initilization of variables\n", - "\n", - "L=1 # m # length of rod AB\n", - "m=10 # kg # mass of the rod\n", - "g=9.81 \n", - "theta=30 # degree\n", - "\n", - "# Calculations\n", - "\n", - "# solving eq'n 4 for omega we get,\n", - "omega=(2*16.82*sin(theta*(pi/180)))**0.5 # rad/s\n", - "\n", - "# Now solving eq'ns 1 &3 for alpha we get,\n", - "alpha=(1.714)*g*cos(theta*(pi/180)) # rad/s\n", - "\n", - "# Components of reaction are given as,\n", - "R_t=((m*g*cos(theta*(pi/180)))-((m*alpha*L)/4)) # N\n", - "R_n=((m*omega**2*L)/4)+(m*g*sin(theta*(pi/180))) # N\n", - "R=(R_t**2+R_n**2)**0.5 # N \n", - "\n", - "# Results\n", - "\n", - "print\"(a) The angular velocity of the rod is \",round(omega,2),\"rad/sec\"\n", - "print\"(b) The reaction at the hinge is \",round(R,1),\"N\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "(a) The angular velocity of the rod is 4.1 rad/sec\n", - "(b) The reaction at the hinge is 103.2 N\n" - ] - } - ], - "prompt_number": 31 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [] - } - ], - "metadata": {} - } - ] -} \ No newline at end of file -- cgit