Question

A block is resting on a piston which is moving vertically with SHM of period 1 s. What is the minimum amplitude to be given to it so that the block and piston can separate?

• A. 0.2 m
• B. 0.25 m
• C. 0.3 m
• D. 0.35 m

Answer 1

The correct option is B

0.25 m

Weight kept on the system will separate from the piston when the maximum force just exceeds the weight of the body. Hence, $m{\omega }^{2}y=mg$ or $y=\frac{g}{{\omega }^2}=\frac{9.8}{(2\pi {)}^2}=0.25$