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+//CHAPTER 7 ILLUSRTATION 12 PAGE NO 208
+//TITLE:GOVERNORS
+//FIGURE 7.12,7.13
+clc
+clear
+//===========================================================================================
+//INPUT DATA
+PI=3.147
+EF=.20//               MINIMUM RADIUS OF ROTATION IN m
+AE=.30//               LENGTH OF EACH ARM IN m
+A1E1=AE//              COMPARING FIRUES 7.12&7.13
+EC=.30//               LENGTH OF EACH ARM IN m
+E1C1=EC//              LENGTH OF EACH ARM IN m
+ED=.165//              FROM FIGURE 7.12 IN m
+MC=ED//                FROM FIGURE 7.12
+EH=.10//                FROM FIGURE 7.12 IN m
+m=8//                  MASS OF BALL IN Kg 
+M=60//                 MASS OF SLEEVE IN Kg
+DF=.035//              SLEEVE DISTANCE FROM AXIS IN m
+E1F1=.25//             MAX RADIUS OF ROTATION IN m
+g=9.81
+//=========================================================
+alpha=asind(EF/AE)//     ANGLE OF INCLINATION OF THE ARM TO THE VERTICAL IN DEGREES
+beeta=asind(ED/EC)//     ANGLE OF INCLINATION OF THE ARM TO THE HORIZONTAL IN DEGREES
+k=tand(beeta)/tand(alpha)
+h=(AE^2-EF^2)^.5//        HEIGHT OF GOVERNOR IN m
+EM=(EC^2-MC^2)^.5//       FROM FIGURE 7.12 IN m
+HM=EM+EH
+N2=(895*EM*(m+(M/2*(1+k)))/(h*HM*m))^.5//      EQUILIBRIUM SPEED AT MAX RADIUS
+HC=(HM^2+MC^2)^.5//                      FROM FIGURE 7.13 IN m
+H1C1=HC
+gama=atand(MC/HM)
+alpha1=asind(E1F1/A1E1)
+E1D1=E1F1-DF//                             FROM FIGURE 7.13 IN m
+beeta1=asind(E1D1/E1C1)
+gama1=gama-beeta+beeta1
+r=H1C1*sind(gama1)+DF//                      RADIUS OF ROTATION IN m
+H1M1=H1C1*cosd(gama1)
+I1C1=E1C1*cosd(beeta1)*(tand(alpha1)+tand(beeta1))// FROM FIGURE IN m
+M1C1=H1C1*sind(gama1)
+w1=(((m*g*(I1C1-M1C1))+(M*g*I1C1)/2)/(m*r*H1M1))^.5//   ANGULAR SPEED IN rad/s
+N1=w1*60/(2*PI)//                         //SPEED IN m/s
+printf('MINIMUM SPEED OF ROTATION = %.3f rpm\n MAXIMUM SPEED OF ROTATION = %.3f rpm',N2,N1)
+