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Question

A rod of mass m and length l lying on a smooth horizontal table is rotating in the horizontal plane about a vertical axis passing through one end of the rod as shown in the figure. Find the force applied by the hinge on the rod.
794691_b626cf062fd248ffba55339da848bd7d.png

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Solution

Force applied by hinge on the rod is given by:
F=mrω2
This force is provided by tension in the rod
T=mlω2

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