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Question

Which of the following graphs correctly represent a particle moving on a horizontal circle with angular acceleration of the particle directly proportional to t? Assume that the particle starts from rest.


Solution

The correct option is C
Given angular acceleration (α) is proportional to t
α=dωdt=kt
dωdtt
Hence slope increases with time.
ω=kt22+C=kt22
(because ω=0 at t=0)
ωt2
Option (c) is correct.

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