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A body oscillates with simple harmonic m...

A body oscillates with simple harmonic motion according to the equation, `x=6" "cos" "3(pit+pi/9)`. The differential equation represented by the equation is

A

`(d^2x)/(dt^2)=3x`

B

`(d^2x)/(dt^2)=-2pix`

C

`(d^2x)/(dt^2)=-9pi^2x`

D

`(d^2x)/(dt^2)=-9pix`

Text Solution

Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-OSCILLATIONS -Critical thinking
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  13. A particle in S.H.M. has velocity of 6.28 emfs, two seconds after pass...

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  14. A particle is in S.H.M. along a straight line 0.2 m long with a period...

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  15. The amplitude and the time period in a S.H.M. is 0.5 cm and 0.4 sec re...

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  16. If x, v, a, K.E. and P.E. represent displacement, velocity, accelerati...

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  18. A particle starts simple harmonic motion from the mean position. Its a...

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