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Applied Mechanics

Q1:

Periodic time of body moving with simple harmonic motion, is

A directly proportional to its angular velocity

B directly porportional to the square of its angular velocity

C inversly proportional to the square of its angular velocity

D inversely proportional to its angular velocity.

ANS:D - inversely proportional to its angular velocity.

The periodic time of a body moving with simple harmonic motion is inversely proportional to the angular velocity. Mathematically, the relationship between the periodic time T and the angular velocity ω is given by: T=2π​ / ω Therefore, the periodic time is inversely proportional to the angular velocity. So, the correct option is: D) Inversely proportional to its angular velocity.



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