Question

Two simple harmonic motions are represented by the equations y₁ = 10 sin (3πt + π/4) and

y₂ = 5 (sin 3πt + √3 cos 3πt)

Find the ratio of their amplitudes

Answer 1

We are given that

From eqns. (i) and (ii), it is clear that the amplitudes of both SHM’s are equal i.e., these are in the ration of 1 : 1.