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+clc
+clear
+mprintf('Mechanical vibrations by G.K.Grover\n Example 2.4.1\n')
+//given data
+l=1 //lenght in m
+d=0.005 //dia of rod im m
+D=0.2 //dia of dotor in m
+M=2 //mass of motor in Kg
+G=0.83 *10^11 //modulus of rigidity in N/m^2
+//calculations
+J=M*((D/2)^2)/2 //mass moment of inertia in Kg-m^2
+Ip=(%pi/32)*d^4 //section modulus in m^4
+Kt=G*Ip/l //stiffness in N-m/rad
+Wn=sqrt(Kt/J) //natural freqency in rad/sec
+fn=Wn/(2*%pi) //natural freq in Hz
+//output
+mprintf(' The natural freqency of vibration of torsional pendulum is %4.4f rad/sec\n or %4.4f Hz',Wn,fn)
+mprintf('\nNOTE:In book the natural freqency of vibration of torsional pendulum\nis given as 36 Hz which is wrong.')