Question

A body of mass 1 gram executes a linear S.H.M. of period 1.57 s. If its maximum velocity is 0.8 m/s, then its maximum displacement from the mean position is

Answer 1

Angular frequency $w=\frac{2\pi }{T}=\frac{2\times 3.14}{1.57}=4$

Maximum velocity $v_{max}=Aw$

Or $0.8=A\times 4$

where $A$ is the maximum displacement from mean position.

$⟹A=0.2m=20cm$