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Question

A rod of length L is pivoted at one end and is rotated with a uniform angular velocity in a horizontal plane. The value of x for point P, where tension is 14 of the tension at O.
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Solution

Tension at O:
To=MLω2×L=Mω2
where, M is mass per unit length, L is length of the rod and ω its angular velocity.
Tension at P:
TP=MLω2x=14Mω2=14To
x=14

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