Q.

Moment of inertia of a thin uniform rod of length l about an axis passing through point A and perpendicular to the rod is  14ml2 . Then the minimum distance of A from one end of the rod is

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Detailed Solution

If x be the distance of A from the centre of the rod (centre of mass), Then by parallel axis theorm 14ml2=112ml2+mx2⇒x2=l26⇒x=l6Therefore, minimum distance of A from one end =l2-l6
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Moment of inertia of a thin uniform rod of length l about an axis passing through point A and perpendicular to the rod is  14ml2 . Then the minimum distance of A from one end of the rod is