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 ω$$0$$ is minimum is given by

Question

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 ω$$0$$ is minimum is given by

Infinity Learn · Accepted Answer

The position of point P on rod through which the axis should pass so that the work required to set the rod rotating with minimum angular velocity ω$$0$$ is their centre of massso $$m1x$$ $$=$$ $$m2(L-x)$$     ⇒ x $$=$$ $$m2Lm1+m2$$

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