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As shown in the figure, a rod moves with...

As shown in the figure, a rod moves with v = 2 m/sec & rotates with `omega = 2pi` rad/sec. Find the point on the rod whose velocity is zero in this frame.

Text Solution

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`v_(P) = 0`
`rArr" "|vec(V)_(PO) + vec(v)_(o) = 0`
`rArr " "v_(PO) - v_(O) = 0 rArr " "v_(PO) = v_(o)`
where `v_(O) = v & v_(PO) = (OP) omega`
`rArr" "(OP)omega = v`
`rArr" "OP = (v)/(omega) = (2)/(2.pi) = (1)/(pi) m`.
The point is located at `(1)/(pi)` m down to the centre of mass.
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