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Question

A mass is kept on a horizontal frictionless surface. It is attached to a string and rotates about a fixed centre at an angular velocity ω. If the length of the string and angular velocity are doubled, find the tension in the string which was initially T0.

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Solution

Angular velocity =ω
Tension in the string, To=mlω2
If the length of the string and angular velocity are doubled:
New tension, T=m×2l×4ω2
T=8mlω2
T=8To

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