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diff --git a/Theory_Of_Machines_by__B._K._Sarkar/Chapter8.ipynb b/Theory_Of_Machines_by__B._K._Sarkar/Chapter8.ipynb new file mode 100755 index 00000000..9bd9a862 --- /dev/null +++ b/Theory_Of_Machines_by__B._K._Sarkar/Chapter8.ipynb @@ -0,0 +1,334 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:1cb0ae5332b03066df5ce763bd8fad0da93c877f86bbb84639588cca0d91016e"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Chapter8-BALANCING OF ROTATING MASSES"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex1-pg221"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "##CHAPTER 8 ILLUSRTATION 1 PAGE NO 221\n",
+ "##TITLE:BALANCING OF ROTATING MASSES\n",
+ "pi=3.141\n",
+ "import math\n",
+ "mA=12.## mass of A in kg\n",
+ "mB=10.## mass of B in kg\n",
+ "mC=18.## mass of C in kg\n",
+ "mD=15.## mass of D in kg\n",
+ "rA=40.## radius of A in mm\n",
+ "rB=50.## radius of B in mm\n",
+ "rC=60.## radius of C in mm\n",
+ "rD=30.## radius of D in mm\n",
+ "theta1=0.## angle between A-A in degrees\n",
+ "theta2=60.## angle between A-B in degrees\n",
+ "theta3=130.## angle between A-C in degrees\n",
+ "theta4=270.## angle between A-D in degrees\n",
+ "R=100.## radius at which mass to be determined in mm\n",
+ "##====================================================\n",
+ "Fh=(mA*rA*math.cos(theta1/57.3)+mB*rB*math.cos(theta2/57.3)+mC*rC*math.cos(theta3/57.3)+mD*rD*math.cos(theta4/57.3))/10.## vertical component value in kg cm\n",
+ "Fv=(mA*rA*math.sin(theta1/57.3)+mB*rB*math.sin(theta2/57.3)+mC*rC*math.sin(theta3/57.3)+mD*rD*math.sin(theta4/57.3))/10.## horizontal component value in kg cm\n",
+ "mb=(Fh**2.+Fv**2.)**.5/R*10.## unbalanced mass in kg\n",
+ "theta=math.atan(Fv/Fh)*57.3## position in degrees \n",
+ "THETA=180.+theta## angle with mA\n",
+ "print'%s %.1f %s %.1f %s'%('magnitude of unbalaced mass=',mb,' kg'' angle with mA=',THETA,'degrees')\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "magnitude of unbalaced mass= 8.1 kg angle with mA= 267.5 degrees\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex2-pg222"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "##CHAPTER 8 ILLUSRTATION 2 PAGE NO 222\n",
+ "##TITLE:BALANCING OF ROTATING MASSES\n",
+ "pi=3.141\n",
+ "\n",
+ "mA=5.## mass of A in kg\n",
+ "mB=10.## mass of B in kg\n",
+ "mC=8.## mass of C in kg\n",
+ "rA=10.## radius of A in cm\n",
+ "rB=15.## radius of B in cm\n",
+ "rC=10.## radius of C in cm\n",
+ "rD=10.## radius of D in cm\n",
+ "rE=15.## radius of E in cm\n",
+ "##============================\n",
+ "mD=182./rD## mass of D in kg by mearument\n",
+ "mE=80./rE## mass of E in kg by mearument\n",
+ "print'%s %.1f %s %.1f %s '%('mass of D= ',mD,' kg''mass of E= ',mE,' kg')\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "mass of D= 18.2 kgmass of E= 5.3 kg \n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex3-pg223"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "##CHAPTER 8 ILLUSRTATION 3 PAGE NO 223\n",
+ "##TITLE:BALANCING OF ROTATING MASSES\n",
+ "pi=3.141\n",
+ "\n",
+ "mA=200.## mass of A in kg\n",
+ "mB=300.## mass of B in kg\n",
+ "mC=400.## mass of C in kg\n",
+ "mD=200.## mass of D in kg\n",
+ "rA=80.## radius of A in mm\n",
+ "rB=70.## radius of B in mm\n",
+ "rC=60.## radius of C in mm\n",
+ "rD=80.## radius of D in mm\n",
+ "rX=100.## radius of X in mm\n",
+ "rY=100.## radius of Y in mm\n",
+ "##=====================\n",
+ "mY=7.3/.04## mass of Y in kg by mearurement\n",
+ "mX=35./.1## mass of X in kg by mearurement\n",
+ "thetaX=146.## in degrees by mesurement\n",
+ "print'%s %.1f %s %.1f %s %.1f %s'%('mass of X=',mX,' kg'' mass of Y=',mY,' kg''angle with mA=',thetaX,' degrees')\n",
+ "\t"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "mass of X= 350.0 kg mass of Y= 182.5 kgangle with mA= 146.0 degrees\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex4-pg225"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "##CHAPTER 8 ILLUSRTATION 4 PAGE NO 225\n",
+ "##TITLE:BALANCING OF ROTATING MASSES\n",
+ "pi=3.141\n",
+ "\n",
+ "mB=30## mass of B in kg\n",
+ "mC=50## mass of C in kg\n",
+ "mD=40## mass of D in kg\n",
+ "rA=18## radius of A in cm\n",
+ "rB=24## radius of B in cm\n",
+ "rC=12## radius of C in cm\n",
+ "rD=15## radius of D in cm\n",
+ "##=============================\n",
+ "mA=3.6/.18## mass of A by measurement in kg\n",
+ "theta=124.## angle with mass B in degrees by measurement in degrees\n",
+ "y=3.6/(.18*20)## position of A from B\n",
+ "print'%s %.1f %s %.1f %s %.1f %s'%('mass of A=',mA,' kg'' angle with mass B=',theta,' degrees'' position of A from B=',y,' m towards right of plane B')"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "mass of A= 20.0 kg angle with mass B= 124.0 degrees position of A from B= 1.0 m towards right of plane B\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex5-pg226"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "##CHAPTER 8 ILLUSRTATION 5 PAGE NO 226\n",
+ "##TITLE:BALANCING OF ROTATING MASSES\n",
+ "pi=3.141\n",
+ "\n",
+ "mB=10.## mass of B in kg\n",
+ "mC=5.## mass of C in kg\n",
+ "mD=4.## mass of D in kg\n",
+ "rA=10.## radius of A in cm\n",
+ "rB=12.5## radius of B in cm\n",
+ "rC=20.## radius of C in cm\n",
+ "rD=15.## radius of D in cm\n",
+ "##=====================================\n",
+ "mA=7.## mass of A in kg by mesurement\n",
+ "BC=118.## angle between B and C in degrees by mesurement\n",
+ "BA=203.5## angle between B and A in degrees by mesurement\n",
+ "BD=260.## angle between B and D in degrees by mesurement\n",
+ "print'%s %.1f %s %.1f %s %.1f %s %.1f %s '%('Mass of A=',mA,' kg'' angle between B and C=',BC,' degrees''angle between B and A= ',BA,' degrees'' angle between B and D=',BD,' degrees')\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Mass of A= 7.0 kg angle between B and C= 118.0 degreesangle between B and A= 203.5 degrees angle between B and D= 260.0 degrees \n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex6-pg228"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "##CHAPTER 8 ILLUSRTATION 6 PAGE NO 228\n",
+ "##TITLE:BALANCING OF ROTATING MASSES\n",
+ "pi=3.141\n",
+ "\n",
+ "mB=36.## mass of B in kg\n",
+ "mC=25.## mass of C in kg\n",
+ "rA=20.## radius of A in cm\n",
+ "rB=15.## radius of B in cm\n",
+ "rC=15.## radius of C in cm\n",
+ "rD=20.## radius of D in cm\n",
+ "##==================================\n",
+ "mA=3.9/.2## mass of A in kg by measurement\n",
+ "mD=16.5## mass of D in kg by measurement\n",
+ "theta=252.## angular position of D from B by measurement in degrees\n",
+ "print'%s %.1f %s %.1f %s %.1f %s'%('Mass of A= ',mA,' kg'' Mass od D= ',mD,' kg'' Angular position of D from B= ',theta,' degrees')\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Mass of A= 19.5 kg Mass od D= 16.5 kg Angular position of D from B= 252.0 degrees\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex7-pg229"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "##CHAPTER 8 ILLUSRTATION 7 PAGE NO 229\n",
+ "##TITLE:BALANCING OF ROTATING MASSES\n",
+ "\n",
+ "\n",
+ "pi=3.141\n",
+ "mA=48.## mass of A in kg\n",
+ "mB=56.## mass of B in kg\n",
+ "mC=20.## mass of C in kg\n",
+ "rA=1.5## radius of A in cm\n",
+ "rB=1.5## radius of B in cm\n",
+ "rC=1.25## radius of C in cm\n",
+ "N=300.## speed in rpm\n",
+ "d=1.8## distance between bearing in cm\n",
+ "##================================\n",
+ "w=2.*pi*N/60.## angular speed in rad/s\n",
+ "BA=164.## angle between pulleys B&A in degrees by measurement\n",
+ "BC=129.## angle between pulleys B&C in degrees by measurement\n",
+ "AC=67.## angle between pulleys A&C in degrees by measurement\n",
+ "C=.88*w**2.## out of balance couple in N\n",
+ "L=C/d## load on each bearing in N\n",
+ "print'%s %.1f %s %.1f %s %.1f %s %.1f %s %.1f %s '%('angle between pulleys B&A=',BA,' degrees'' angle between pulleys B&C= ',BC,' degrees'' angle between pulleys A&C=',AC,' degrees'' out of balance couple= ',C,' N'' load on each bearing=',L,' N')"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "angle between pulleys B&A= 164.0 degrees angle between pulleys B&C= 129.0 degrees angle between pulleys A&C= 67.0 degrees out of balance couple= 868.2 N load on each bearing= 482.3 N \n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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