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Applied Mechanics

Q1: For a particle moving with a simple harrmonic motion, the frequency is

A directly proportional to periodic time

B inversely proportional to periodic time

C inversely proportional to its angular velocity

D directly proportional to its angular velocity

E none of these.

ANS:B - inversely proportional to periodic time

The term "periodic time" likely refers to the period (T) of the simple harmonic motion (SHM), which is the time taken for one complete cycle of oscillation. If we consider the relationship between frequency (f) and period (T) in SHM, it can be expressed as follows: F=1/T​ Here, f is the frequency, and T is the period. This equation shows that frequency is inversely proportional to the period. As the period increases, meaning it takes more time for one complete cycle, the frequency decreases, and vice versa.



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