A rigid block of mass (M) is mounted on four elastic supports, as shown in Fig. 2.58.

Question:

A rigid block of mass $M$ is mounted on four elastic supports, as shown in Fig. 2.58. A mass $m$ drops from a height $l$ and adheres to the rigid block without rebounding. If the spring constant of each elastic support is $k$, find the natural frequency of vibration of the system

(a) without the mass $m$, and

(b) with the mass $m$. Also find the resulting motion of the system in case (b).

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