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Question

A particle moves in the X-Y plane according to the equation
r=i+2jAcosωt.
The motion of the particle is
(a) on a straight line
(b) on an ellipse
(c) periodic
(d) simple harmonic

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Solution

(a) on a straight line
(c) periodic
(d) simple harmonic

The given equation is a solution to the equation of simple harmonic motion. The amplitude is (i+2j)A, following equation of straight line y = mx + c. Also, a simple harmonic motion is periodic.

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