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{
"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": {}
}
]
}
|
