Moment of inertia of a disc of radius R about a diametric axis is 25 kg m-2. The moment of inertia of the disc about a parallel axes at a distance R/2 from the centre is [MPPMT 2013]

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31.25 kg-m2

37.5 kg-m2

50 kg-m2

62.5 kg-m2

answer is C.

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Detailed Solution

Moment of inertia of a disc about a parallel axes,I=Iv+md2=mR24+md2 (∵a=R and d=R/2)⇒ Moment of inertia, I=mR22=1002 = 50 kg-m2

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