#### Point masses m1 and m2 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 P 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 : Option 1) Option 2) Option 3) Option 4)

As we learned in concept

Moment of inertia for system of particle -

- wherein

Applied when masses are placed discretely.

Total M.I of rod

As I is minimum i.e.

=>

Option 1)

this is the incorrect option

Option 2)

this is the incorrect option

Option 3)

this is the correct option

Option 4)

this is the incorrect option