Give the expression for frequency of oscillation of a mass body as shown in the fig.

Explanation

Effective spring constant `=(1)/(k)=(1)/(k_(1)+k_(2))+(1)/(k_(3))`
`"i.e. "(1)/(k)=((k_(1)+k_(2)+k_(3)))/((k_(1)+k_(2))k_(3))`
Period of oscillation `T=2pi sqrt(m((k_(1)+k_(2)+k_(3)))/((k_(1)+k_(2))k_(3)))`
Since frequency of oscillation `n=(1)/(T)=(1)/(2pi)sqrt(((k_(1)+k_(2))k_(3))/(m(k_(1)+k_(2)+k_(3))).`