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 $\therefore \, \, \, \, \, \, mg=m\omega^2 y \Rightarrow \, \, y=\frac{s}{\omega^2}$ Given, $g=9.8ms^{-2} , \omega =2\pi$ $\therefore \, \, \, \, \, \, \, \, y=\frac{9.8}{(2\pi)^2}=0.25 m$