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A coin is placed on a horizontal platform which under goes vertical simple harmonic motion of angular frequency $ω$ ). The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time:

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for an amplitude of $\frac{g^{2}}{ω^{2}}$

at the highest position of the platform

at the mean position of the platform

for an amplitude of $\frac{g}{ω^{2}}$

answer is D.

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Detailed Solution

The coin will be just leaving the contact at the lowest position when ${mω}^{2} A \geq mg \Rightarrow A \geq \frac{g}{ω^{2}}$

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