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Questions  

A particle moves in the x–y plane according to the equation; \overrightarrow r = \left( {\widehat i + \widehat j} \right)\left( {A\sin \omega t + B\cos \omega t} \right). Motion of the particle is:

a
periodic
b
SHM
c
along a straight line
d
all of the above

detailed solution

Correct option is D

and where Also, y/x = 1 ⇒ y = xSo the particle is executing SHM with amplitude

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Similar Questions

A force F1 when it acts on a body causes it to execute SHM of time period T1 whereas another force F2 when actions on the same body causes it to execute SHM of time period T2.If both forces act on the body simultaneously and in a manner that they are always acting in the same phase, the time period of SHM will be:


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