SHMHard

Question

A highly rigid cubical block A of small mass M and side L is fixed rigidly on to another cubical block B of the same dimensions and of low of rigidity η such that the lower face of A completely covers the upper face of B. The lower face of B is rigidly held on a horizontal surface. A small force F is applied perpendicular to one of the side faces of A. After the force is withdrawn, block A executes small oscillation, the timpe period of which is given by

Options

A.
B.
C.
D.

Solution

     
Modulus of rigidity, η = F / Aθ
Here, A = L2
and θ =
Therefore, restoring force is
F - = ηAθ = -ηLx
or acceleration, a = = -
Since, a ∝ - x, oscillation are simple harmonic in nature time period of which is given by
T = 2π = 2π = 2π

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