A particle moves in the x-y plane , acco...

A particle moves in the `x-y` plane , accoding to the equation, `r = (hati + 2hatj) A cos omegat`. The motion of the particle is

A

on a straight line

B

on an ellipse

C

periodic

D

simple harmonic

Text Solution

Verified by Experts

The correct Answer is:

C, D

`vecr = xhati + yhati = (A cosomegat)hati + (2A cos omegat)hatj`
`rArr x = A cos omegat, y = 2 A cos omegat y = 2x`
`rArr` The motion of particle is on a stright line, periodic and simple harmonic

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