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Questions  

A disc of radius R and mass M is pivoted at the rim and is set for small oscillations. If simple pendulum has to have the same period as that of the disc, the length of the simple pendulum should be

a
54R
b
23R
c
34R
d
32R

detailed solution

Correct option is D

Time period of a physical pendulumT = 2πI0mgd =2π(12mR2+mR2)mgR    = 2π3R2g----------------(i)Tsimple pendulum = 2πlg------------------(ii)Equating (i) and (ii), l = 32R.

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