A particle moves in the X-Y plane according to the equation `vecr=(veci+2vecj)Acosomegat`. The motion of the particle isA. (i), (ii)B. (i), (iii)C. (i), (iii), (iv)D. (iii), (iv)

A particle moves in the X-Y plane according to the equation `vecr=(vec

1.	A particle moves in the X-Y plane according to the equation `vecr=(veci+2vecj)Acosomegat`. The motion of the particle isA. (i), (ii)B. (i), (iii)C. (i), (iii), (iv)D. (iii), (iv)
Answer» Correct Answer - C `vecr=(hati+2hatj)Acosomegat` `=Acosomegathati+2Acosomegathatj=xhati+yhatj` `x=Acosomegat`, `y=2Acosomegat` `y/x=2impliesy=2x` (straight line), (i) is O.K. `(dvecr)/(dt)=(hati+2hatj)(-Aomegasinomegat)` `veca=(d^2vecr)/(dt^2)=(hati+2j)(-Aomegacosomegat)=-omega^2vecr` `vecaalpha-vecr(SHM)`, (iv) is O.K. sin and cos are periodic functions, (iii) is O.K.

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A particle moves in the X-Y plane according to the equation `vecr=(veci+2vecj)Acosomegat`. The motion of the particle isA. (i), (ii)B. (i), (iii)C. (i), (iii), (iv)D. (iii), (iv)

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