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Q.

A particle moves in the x-y plane according to the equation; r=(i^+j^)(Asinωt+Bcosωt). Motion of the particle is

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a

SHM

b

Periodic

c

Along a straight line

d

All of the above

answer is D.

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Detailed Solution

The particle will move along the line y=x.

cosωt+sinωt=2sinωt+45o.

So the given motion will be SHM.

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A particle moves in the x-y plane according to the equation; r→=(i^+j^)(Asinωt+Bcosωt). Motion of the particle is