Point masses 
and 
are placed at the opposite ends of a rigid rod of length L, 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 ExpertsB
Moment of inertia of the system about the axis of rotation (through point 
) is
By work energy theorem,
Work done to set the rod rotating with angular velocity 
Increase in rotational kinetic energy
For 
to be minimum, 
or 
or 
or 
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