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A block is resting on a piston which executes simple harmonic motion with a period $2.0 s$ . The maximum velocity (in m/s) of the piston, at an amplitude just sufficient for the block to separate from the piston is:- ( $g = 10 m / s^{2}, π^{2} ≃ 10$ )

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Detailed Solution

$ω = \frac{2 π}{T} = π rad s^{- 1} a_{\max} = ω^{2} A = g \{when N = 0\} \Rightarrow A = \frac{g}{ω^{2}} = \frac{10}{π^{2}} = 1 m And V_{\max} = ωA = 3.14 {ms}^{- 1}$

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