Point masses ${{\rm{m}}_{\rm{1}}}\,{\rm{and}}\,\,{{\rm{m}}_{\rm{2}}}$ are placed at the opposite ends of 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 to work required to set the rod rotating with angular velocity ${\omega _0}$ is minimum, is given by:
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