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//CHAPTER 7 ILLUSRTATION 5 PAGE NO 200
//TITLE:GOVERNORS
//FIGURE 7.8
clc
clear
//===========================================================================================
//INPUT DATA
g=9.81// ACCELERATION DUE TO GRAVITY
OA=.30// LENGHT OF UPPER ARM IN m
AC=.30// LENGTH OF LOWER ARM IN m
m=10// MASS OF BALL IN Kg
M=50// MASS OF SLEEVE IN Kg
r=.2// RADIUS OF ROTATION IN m
CD=.04// DISTANCE BETWEEN AXIS AND LOWER ARM IN m
F=15// FRICTIONAL LOAD ACTING IN N
//============================================================
h=(OA^2-r^2)^.5// HIEGTH OF THE GOVERNOR IN m
AE=r-CD// AE VALUE IN m
CE=(AC^2-AE^2)^.5// BD DISTANCE IN m
TANalpha=r/h// TAN OF ANGLE OF INCLINATION OF THE ARM TO THE VERTICAL
TANbeeta=AE/CE// TAN OF ANGLE OF INCLINATION OF THE LINK TO THE VERTICAL
k=TANbeeta/TANalpha
N=((895/h)*(m+(M*(1+k)/2))/m)^.5// EQULIBRIUM SPEED IN rpm
N1=((895/h)*((m*g)+(M*g+F)/2)*(1+k)/(m*g))^.5// MAX SPEED IN rpm
N2=((895/h)*((m*g)+(M*g-F)/2)*(1+k)/(m*g))^.5// MIN SPEED IN rpm
R=N1-N2// RANGE OF SPEED
printf('EQUILIBRIUM SPEED OF GOVERNOR = %.3f rpm\n RANGE OF SPEED OF GOVERNOR= %.3f rpm',N,R)
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