JEE Main 2016 · 10 Apr · Shift 1 · Physics Q10

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In an engine the piston undergoes vertical simple harmonic motion with amplitude 7 cm. A washer rests on top of the piston and moves with it. The motor speed is slowly increased. The frequency of the piston at which the washer no longer stays in contact with the piston, is close to :

0.1 Hz

1.2 Hz

0.7 Hz

1.9 Hz

Answer and worked solution

Official answer: D

The washer leaves when the downward acceleration needed exceeds g: $\omega^2A=g$ , so $\omega=\sqrt{\frac{9.8}{0.07}}=11.8$ rad/s and $f=\frac\omega{2\pi}\approx1.9$ Hz.

Topics:Simple harmonic motion

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JEE Main 2016 · 10 Apr · Shift 1, Physics question 10