Point masses
and
are placed at the opposite ends of a rigid rod of length
and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The position of point
on this rod through which the axis should pass, so that the work required to set the rod rotating with angular velocity
is minimum, is given by

Text Solution
Verified by ExpertsThe correct answer is:
D
As two point masses
and
are placed at opposite ends of a rigid rod of length
and
negligible mass as shown in figure.
Total moment of inertia of the rod,


As,
is minimum, i.e. 

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