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A particle moves in the X-Y plane accord...

A particle moves in the X-Y plane according to the equation `vecr=(veci+2vecj)Acosomegat`. The motion of the particle is

A

on a straight line

B

on an ellipse

C

perodic

D

simple harmonic.

Text Solution

Verified by Experts

The correct Answer is:
A, C, D

`vecr=Acosomegathati+2Acosomegathatj`
`|vecr|=Acosomegatsqrt5=sqrt5Acosomegat`
So motion is at straight line, periodic SHM.
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