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A simple harmonic motion of a particle i...

A simple harmonic motion of a particle is represented by an equation `x= 5 sin(4t -(pi)/(6))`, where x is its displacement. If its displacement is 3 unit then find its velocity.

A

`(2pi)/(3)`

B

`(5pi)/(6)`

C

`20`

D

`16`

Text Solution

Verified by Experts

The correct Answer is:
D

`A= 5" and "omega = 4 rad s^(-1)`
`v= omega sqrt(A^(2)-y^(2))= 4 sqrt(25-9)= 16` unit.
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KUMAR PRAKASHAN-OSCILLATIONS-SECTION-E (MCQs ASKED IN GUJARAT BOARD AND COMPETITIVE EXAMS)
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