Two bodies $A$ and $B$ of equal masses are suspended from two separate massless springs of spring co

Question

Two bodies $A$ and $B$ of equal masses are suspended from two separate massless springs of spring constant $k_1$ and $k_2$ respectively. If the bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of $A$ to that of $B$ is

Professor PC Thomas Classes · Answer

Since $v_{max} = A\omega = A\sqrt{k/m}$, ratio of amplitudes is $\sqrt{k_2/k_1}$.