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MHT CET 2024 (10 May, Shift 2) · Velocity & Acceleration in SHM

Velocity & Acceleration in SHM question from MHT CET 2024 (10 May, Shift 2)

Q33MHT CET 2024 · 10 MAY · SHIFT 2Medium

Velocity & Acceleration in SHM

A particle performs linear S.H.M. When the displacement of the particle from mean position is 3 cm and 4 cm, corresponding velocities are $8\text{ cm/s}$ and $6\text{ cm/s}$ respectively. Its periodic time is

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Answer: (b)

$64 = \omega^2(A^2 - 9)$ and $36 = \omega^2(A^2 - 16)$ .
Subtract: $28 = 7\omega^2 \Rightarrow \omega = 2$ rad/s.
$T = \frac{2\pi}{\omega} = \pi$ s.
So the answer is (b) $\pi$ s.

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