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

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54R

23R

34R

32R

answer is D.

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Detailed Solution

Time period of a physical pendulumT=2πI0mgd=2π12mR2+mR2mgR=2π3R2g …..(i)Tsimple pendulum=2πlg …..(ii)Equating (i) and (ii), l=32R.

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