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The equation of motion of a particle exe...

The equation of motion of a particle executing a linear S.H.M. is given by `x =10 "sin" (4t-pi//6)cm`. What is its velocity, when x=6 ?

A

64 cm/sec

B

54 cm/sec

C

32 cm/sec

D

16 cm/sec

Text Solution

Verified by Experts

The correct Answer is:
C
Comparing with `x = A "sin" (omega t+ alpha)`, we get `omega =4, A=10 cm and x=6 cm`
`v=omega sqrt(A^(2)-x^(2))=4sqrt(100-36)=32 cm//s`
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