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A light rigid rod of length l is constra...

A light rigid rod of length l is constrained to move in a vertical plane, so that its ends are along the x and y axes respectively. Find the instantaneous axis of rotation of the rod when it makes an angle `theta` with horizontal.

Text Solution

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If we drop perpendiculars upon `vec(v)_(1) and vec(v)_(2)`, they meet at O. Therefore, O is the instantaneous point of rotation and the axis passing through and perpendicular to the plane of rotation is known as axis of rotation.
The coordinates of O is given as l cos `theta` and l sin `theta` respectively.
`rArr" "0 = (l cos theta, l sin theta)`
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