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Two light strings, each of length l, are fixed at points A and B on a fixed horizontal rod xy. A small bob is tied by both strings and in equilibrium, the strings are making angle 45° with the rod. If the bob is slightly displaced normal to the plane of the strings and released then period of the resulting small oscillation will be:

a
2π22lg
b
2π2lg
c
2πlg
d
2πl2g

detailed solution

Correct option is D

Resulting torque on the bob = mgl2sinθMI of bob about axis xy = ml22For small angle θω = 2gl   ⇒ T = 2πl2g

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A uniform stick of mass M and length L is pivoted at its centre. Its ends are tied to two springs each of force constant K. In the position shown in figure, the strings are in their natural length. When the string is displaced through a small angle θ and released. The stick:


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