A highly rigid cubical block $A$ of small mass $M$ and side $L$ is fixed rigidly onto another cubical block $B$ of the same dimensions and of low modulus of rigidity $\eta $ 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 After the force is withdrawn block $A$ executes small oscillations. The time period of which is given by
A highly rigid cubical block $A$ of small mass $M$ and side $L$ is fixed rigidly onto another cubical block $B$ of the same dimensions and of low modulus of rigidity $\eta $ 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 After the force is withdrawn block $A$ executes small oscillations. The time period of which is given by
- [IIT 1992]
- A
$2\pi \sqrt {\frac{{M\eta }}{L}} $
- B
$2\pi \sqrt {\frac{L}{{M\eta }}} $
- C
$2\pi \sqrt {\frac{{ML}}{\eta }} $
- D
$2\pi \sqrt {\frac{M}{{\eta L}}} $
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$\frac{1}{2} m v^{2}=m g h$
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