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JEE Main 2021 (24 Feb, Shift 2) · Spring Systems

Spring Systems question from JEE Main 2021 (24 Feb, Shift 2)

Q74JEE Main 2021 · 24 FEB · SHIFT 2Medium

Spring Systems

In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane. The free ends of the springs are attached to firm supports. If each spring has spring constant k, the frequency of oscillation of given body is:

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Answer: (c)

Gravity ( $Mg\sin\alpha$ ) only shifts the equilibrium; it does not change $k$ .
For displacement $x$ along the incline, one spring stretches and the other compresses: restoring force $2kx$ .
$f = \frac{1}{2\pi}\sqrt{\frac{2k}{M}}$ , so the answer is (c).

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