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+clc
+clear
+mprintf('Mechanical vibrations by G.K.Grover\n Example 2.3.4\n')
+//given data
+M=35//mass of flywheel in Kgs
+r=0.3/2 //distance of centre of mass from pivot in m
+T=1.22 //time period of oscillation in sec
+g=9.81//accelaration due to gravity in m/(sec^2)
+//concept is as follows
+//Jo=mass moment of inertia about pivot, Wn=natural freqency
+//thetadd=theta double dot(double differentiation)
+//Jo*thetadd=-M*g*r*theta ....sum of moments is = to zero
+//Jo*thetadd +(M*g*r*theta)=0
+//Wn=sqrt((M*g*r*)/Jo)=2*pi/T
+//calculations
+Jo=M*g*r/((2*%pi/T)^2)
+Jg=Jo-M*r^2 //mass moment of inertia about geometric axis
+//output
+mprintf('Mass moment of inertia about pivot is %4.4f Kg-m^2\n Mass moment of inertia about geometric axis is %4.4f Kg-m^2',Jo,Jg)