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+clc
+clear
+mprintf('Mechanical vibrations by G.K.Grover\n Example 2.5.1\n')
+//given data
+k1=2000 //stiffness of spring 1 in N/m
+k2=1500 //stiffness of spring 2 in N/m
+k3=3000 //stiffness of spring 3 in N/m
+k4=500 //stiffness of spring 4 in N/m
+k5=500 //stiffness of spring 5 in N/m
+fn =10 //natural frequency of system in Hz
+//calculations
+Ke1=1/((1/k1)+(1/k2)+(1/k3)) // effective stiffness of top 3 springs in series in N/m
+Ke2=k4+k5 // effective stiffness of lower 2 springs in parallel in N/m
+Ke=Ke1+Ke2 // total effective stiffness of sring system
+M=Ke/(2*%pi*fn)^2 //reqired mass such that the natural frequency of system is 10 Hz (in Kg)
+//output
+mprintf(' The mass required such that the natural frequency of system is 10 Hz\n is %4.4f Kg',M)