Point masses $m_1$ and $m_2$ 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
Point masses $m_1$ and $m_2$ 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
- [AIPMT 2015]
- A
$x= $$\frac{{{m_2}L}}{{{m_1} + {m_2}}}$
- B
$x=$ $\frac{{{m_1}L}}{{{m_1} + {m_2}}}$
- C
$x= $$\frac{{{m_1}L}}{{{m_2}}}$
- D
$x=$$\frac{{{m_2}L}}{{{m_1}}}$
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