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An object of mass m is moving in unifrom...

An object of mass m is moving in unifrom circular motion in xy-plane. The circle has radius R and object is moving clockwise around the circle with speed v. The motion is projected onto the x-axis where it appears as simple harmonic motion accoding to `x(t) = Rcos (omegat + phi)`. The motion starts from pointof coordinates
`(0,R)`.
In this projection `phi` is-

A

`pi//2`

B

`pi`

C

`3pi//2`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
C
At `t = 0, x = 0 , v = v_(0) = omegaR`
so `cos(omegat + phi) = 0` & `-sin(omegat+phi) = +1 rArr phi = (3pi)/(2)`
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