Question

For the block performing SHM in the accelerated cabin as shown in the figure which of the following is true

• A. Motion of block is SHM w.r.t. an observer on ground
• B. Motion of block is SHM w.r.t an observer in cabin and potential energy stored in spring in etreme position is equal to kinetic energy in mean position
• C. Motion of block is SHM w.r.t an observer in cabin but potential energy stored in spring in streme position is not equal to kinetic energy in mean position
• D. None of these

Answer 1

The correct option is B Motion of block is SHM w.r.t an observer in cabin and potential energy stored in spring in etreme position is equal to kinetic energy in mean position

$kx=M\left(a+g\right)$

$=M{g}_{eff}$

$Max.P.E=\frac{1}{2}K{A}^2$

but in cabin frame $P.E$ at extreme position is eq to $K.E$ at mean position same can't be said in ground frame$.$

Hence,

option $\left(B\right)$ is correct answer.