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Question

A rod of mass M is rotating with angular velocity ω about its central axis. Two particles of same mass(M) lie near the axis. Find the angular velocity of the rod when particles reach at ends.


A
ω7
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B
2ω7
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C
3ω7
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D
4ω7
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Solution

The correct option is A ω7
From conservation of angular momentum,
I1ω1=I2ω2
ML212×ω=(ML212+ML24+ML24)×ω
ML212×ω=7ML212×ω
ω=ω7

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