Two bodies A and B of equal mass are suspended from two separate massless springs of spring constant k₁ and k₂ 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

Question

Philoid · Accepted Answer

The maximum velocity is aω in the S.H.M.

Let for body A, the amplitude is and the angular frequency

And for the body B the amplitude is and the angular frequency

Since it is given that the maximum velocities are equal.

So we can write,

Hence,

Two bodies A and B of equal mass are suspended from two separate massless springs of spring constant k1 and k2 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