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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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Correct option is D
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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A uniform rod of length 2.0 m is suspended through an end and is set into oscillation with small amplitude under gravity. The time period of oscillation is approximately
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