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 $\omega $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 $\omega $₀ is minimum, is given by

$x = {{{m_2}} \over {{m_1}}}L$

$x = {{{m_2}L} \over {{m_1} + {m_2}}}$

$x = {{{m_1}L} \over {{m_1} + {m_2}}}$

$x = {{{m_1}} \over {{m_2}}}L$

Solution

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