For a particle executing S.H.M. which of the following statements holds good `:`

Options

A. The mechanical energy of particle remains constant
B. The restoring force is always directed towards a fixed point
C. The velocity is minimum at the equilibrium position
D. The restoring force is maximum at the extreme position

Answer

A, B, D

Explanation

In S.H.M., Restoring force `F=-ky,` Here, `-ve` sign shows that it is directed towards mean position. Restoring force is maximum when `y=1=` amplitude of S.H.M. It means the particle is at the extreme position. The total energy of the particle, `E=(1)/(2)momega^(2)a^(2)=a` constant.
The velocity is maximum at the mean position.
Choices `(a,b,d)` are correct.