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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 (also known as the period) of a body moving with simple harmonic motion (SHM) is: "Inversely proportional to its angular velocity." The period T of an object undergoing SHM is the time it takes for the object to complete one full cycle of motion. Mathematically, it is inversely proportional to the angular velocity ω of the object. The relationship between period  T and angular velocity ω is given by: T=2π / ω​ Therefore, the period T of a body in simple harmonic motion is inversely proportional to its angular velocity ω.



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