Simple Harmonic Motion 3 Question 8
8. A highly rigid cubical block of small mass and side is fixed rigidly on to another cubical block of the same dimensions and of low modulus of rigidity such that the lower face of completely covers the upper face of . The lower face of is rigidly held on a horizontal surface. A small force is applied perpendicular to one of the side faces of . After the force is withdrawn, block executes small oscillations, the time period of which is given by
(a)
(b)
(c)
(d)
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Answer:
Correct Answer: 8. (d)
Solution:
- Modulus of rigidity,
Here,
and
Therefore, restoring force is
or acceleration,
Since,