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 --- .../chapter24_7.ipynb | 349 --------------------- 1 file changed, 349 deletions(-) delete mode 100755 Engineering_Mechanics_by_Tayal_A.K./chapter24_7.ipynb (limited to 'Engineering_Mechanics_by_Tayal_A.K./chapter24_7.ipynb') diff --git a/Engineering_Mechanics_by_Tayal_A.K./chapter24_7.ipynb b/Engineering_Mechanics_by_Tayal_A.K./chapter24_7.ipynb deleted file mode 100755 index 9fcc267a..00000000 --- a/Engineering_Mechanics_by_Tayal_A.K./chapter24_7.ipynb +++ /dev/null @@ -1,349 +0,0 @@ -{ - "metadata": { - "name": "chapter24.ipynb" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter 24: Mechanical Vibrations" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 24.24-1,Page No:596" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "# Initilization of variables\n", - "\n", - "f=0.1666666 # oscillations/second\n", - "x=8 # cm # distance from the mean position\n", - "pi=3.14\n", - "\n", - "# Calculations\n", - "\n", - "omega=2*pi*f\n", - "\n", - "# Amplitude is given by eq'n \n", - "r=sqrt((25*x**2)/16) # cm\n", - "\n", - "# Maximum acceleration is given as,\n", - "a_max=(pi/3)**2*10 # cm/s^2\n", - "\n", - "# Velocity when it is at a dist of 5 cm (assume s=5 cm) is given by\n", - "s=5 # cm\n", - "v=omega*(r**2-s**2)**0.5 # cm/s\n", - "\n", - "# Results\n", - "\n", - "print\"(a) The amplitude of oscillation is \",round(r,2),\"cm\"\n", - "print\"(b) The maximum acceleration is \",round(a_max,2),\"cm/s^2\"\n", - "print\"(c) The velocity of the particle at 5 cm from mean position is \",round(v,2),\"cm/s\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "(a) The amplitude of oscillation is 10.0 cm\n", - "(b) The maximum acceleration is 10.96 cm/s^2\n", - "(c) The velocity of the particle at 5 cm from mean position is 9.06 cm/s\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 24.24-2,Page No:597" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "# Initilization of variables\n", - "\n", - "x_1=0.1 # m # assume the distance of the particle from mean position as (x_1 & x_2)\n", - "x_2=0.2# m \n", - "\n", - "# assume velocities as v_1 & v_2\n", - "\n", - "v_1=1.2 # m/s\n", - "v_2=0.8 # m/s\n", - "pi=3.14\n", - "\n", - "# Calculations\n", - "\n", - "# The amplitude of oscillations is given by dividing eq'n 1 by 2 as,\n", - "r=(0.064)**0.5 # m\n", - "omega=v_1*((r**2-x_1**2)**0.5) # radians/second\n", - "t=(2*pi)/omega # seconds\n", - "v_max=r*omega # m/s\n", - "\n", - "# let the max acceleration be a which is given as,\n", - "a=r*omega**2 # m/s^2\n", - "\n", - "# Results\n", - "\n", - "print\"(a) The amplitude of oscillations is \",round(r,3),\"m\"\n", - "print\"(b) The time period of oscillations is \",round(t,2),\"seconds\"\n", - "print\"(c) The maximum velocity is \",round(v_max,2),\"m/s\"\n", - "print\"(d) The maximum acceleration is \",round(a,2),\"m/s^2\"\n", - "# NOTE: the value of t is incorrect in the text book\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "(a) The amplitude of oscillations is 0.253 m\n", - "(b) The time period of oscillations is 1.22 seconds\n", - "(c) The maximum velocity is 1.31 m/s\n", - "(d) The maximum acceleration is 6.75 m/s^2\n" - ] - } - ], - "prompt_number": 14 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Exammple 24.24-5,Page No:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "# Initilization of variabes\n", - "\n", - "W=50 # N # weight\n", - "x_0=0.075 # m # amplitude\n", - "f=1 # oscillation/sec # frequency\n", - "pi=3.14\n", - "g=9.81 \n", - "\n", - "# Calculations\n", - "\n", - "omega=2*pi*f\n", - "K=(((2*pi)**2*W)/g)*(10**-2) # N/cm\n", - "\n", - "# let the total extension of the string be delta which is given as,\n", - "delta=(W/K)+(x_0*10**2) # cm\n", - "T=K*delta # N # Max Tension\n", - "v=omega*x_0 #m/s # max velocity\n", - "\n", - "# Results\n", - "\n", - "print\"(a) The stiffness of the spring is \",round(K,2),\"N/cm\"\n", - "print\"(b) The maximum Tension in the spring is \",round(T,2),\"N\"\n", - "print\"(c) The maximum velocity is \",round(v,2),\"m/s\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "(a) The stiffness of the spring is 2.01 N/cm\n", - "(b) The maximum Tension in the spring is 65.08 N\n", - "(c) The maximum velocity is 0.47 m/s\n" - ] - } - ], - "prompt_number": 15 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 24.24-10,Page No:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "# Initilization of variables\n", - "\n", - "l=1 # m # length of the simple pendulum\n", - "g=9.81 # m/s^2\n", - "pi=3.14\n", - "\n", - "# Calculations\n", - "\n", - "# Let t_s be the time period when the elevator is stationary\n", - "t_s=2*pi*(l/g)**0.5 #/ seconds\n", - "\n", - "# Let t_u be the time period when the elevator moves upwards. Then from eqn 1\n", - "t_u=2*pi*((l)/(g+(g/10)))**0.5 # seconds\n", - "\n", - "# Let t_d be the time period when the elevator moves downwards.\n", - "t_d=2*pi*(l/(g-(g/10)))**0.5 # seconds\n", - "\n", - "# Results\n", - "\n", - "print\"The time period of oscillation of the pendulum for upward acc of the elevator is \",round(t_u,2),\"seconds\"\n", - "print\"The time period of oscillation of the pendulum for downward acc of the elevator is \",round(t_d,2),\"seconds\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The time period of oscillation of the pendulum for upward acc of the elevator is 1.91 seconds\n", - "The time period of oscillation of the pendulum for downward acc of the elevator is 2.11 seconds\n" - ] - } - ], - "prompt_number": 17 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 24.24-11,Page No:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "# Initilization of variables\n", - "\n", - "t=1 # second # time period of the simple pendulum\n", - "g=9.81 # m/s^2\n", - "pi=3.14\n", - "\n", - "# Calculations\n", - "\n", - "# Length of pendulum is given as,\n", - "l=(t/(2*pi)**2)*g # m\n", - "\n", - "# Let t_u be the time period when the elevator moves upwards. Then the time period is given as,\n", - "t_u=2*pi*((l)/(g+(g/10)))**0.5 # seconds\n", - "\n", - "# Let t_d be the time period when the elevator moves downwards.\n", - "t_d=2*pi*(l/(g-(g/10)))**0.5 # seconds\n", - "\n", - "# Results\n", - "\n", - "print\"The time period of oscillation of the pendulum for upward acc of the elevator is \",round(t_u,2),\"seconds\"\n", - "print\"The time period of oscillation of the pendulum for downward acc of the elevator is \",round(t_d,2),\"seconds\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The time period of oscillation of the pendulum for upward acc of the elevator is 0.95 seconds\n", - "The time period of oscillation of the pendulum for downward acc of the elevator is 1.05 seconds\n" - ] - } - ], - "prompt_number": 19 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 24.24-12,Page No:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "# Initilization of variables\n", - "\n", - "m=15 # kg # mass of the disc\n", - "D=0.3 # m # diameter of the disc\n", - "R=0.15 # m # radius\n", - "l=1 # m # length of the shaft\n", - "d=0.01 # m # diameter of the shaft\n", - "G=30*10**9 # N-m^2 # modulus of rigidity\n", - "pi=3.14\n", - "\n", - "# Calculations\n", - "\n", - "# M.I of the disc about the axis of rotation is given as,\n", - "I=(m*R**2)*0.5 # kg-m^2\n", - "\n", - "# Stiffness of the shaft\n", - "k_t=(pi*d**4*G)/(32*l) # N-m/radian\n", - "t=2*pi*(I/k_t)**0.5 # seconds\n", - "\n", - "# Results\n", - "\n", - "print\"The time period of oscillations of the disc is \",round(t,2),\"seconds\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The time period of oscillations of the disc is 0.48 seconds\n" - ] - } - ], - "prompt_number": 24 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 24 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file -- cgit