Question

A block is resting on a piston which is moving vertically with SHM of period $1\, s$ . At what amplitude of motion will the block and piston separate?

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

Answer 1

Answer: (B)

0.25 m

Answer 2

When maximum force just exceeds the weight of the body, then weight kept on the system will separate from the piston $\therefore mg=m\omega ^{2}y$ $\Rightarrow y= \frac{g}{\omega ^{2}}$ Given $g=9.8\,ms^{-2},\,\omega =2\pi$ $\therefore y=\frac{9.8}{(2\pi )^{2}}=0.25\,m$