SHM Block and Piston Separation – Rankers Physics
Topic: Oscillation
Subtopic: Equation of SHM

SHM Block and Piston Separation

A block is resting on a piston which is moving vertically executing SHM of period 1 s. At what minimum amplitude of motion, will the block and piston separate? (take \(\pi^2 = 10\))
0.2 m
0.3 m
0.25 m
0.5 m

Solution:

Separation occurs when the maximum downward acceleration of the piston equals \(g\). Thus, \(\omega^2 A = g \implies \left(\frac{2\pi}{T}\right)^2 A = g \implies 4\pi^2 A = 10 \implies 40 A = 10 \implies A = 0.25\text{ m}\).

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