In the given figure,a body of mass M is held | vedclass

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(C) When the body of mass $M$ is displaced along the inclined plane,both springs are either compressed or stretched simultaneously. Since the springs

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$\frac{1}{2 \pi} \sqrt{\frac{2k}{M}}$

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(C) When the body of mass $M$ is displaced along the inclined plane,both springs are either compressed or stretched simultaneously. Since the springs are connected in parallel with respect to the displacement of the mass,the effective spring constant $K_{eq}$ is given by: $K_{eq} = k_1 + k_2 = k + k = 2k$. The time period $T$ of oscillation for a spring-mass system is given by: $T = 2 \pi \sqrt{\frac{M}{K_{eq}}} = 2 \pi \sqrt{\frac{M}{2k}}$. The frequency of oscillation $f$ is the reciprocal of the time period: $f = \frac{1}{T} = \frac{1}{2 \pi} \sqrt{\frac{2k}{M}}$.

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 a spring constant $k,$ the frequency of oscillation of the given body is:

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