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A particle is moving in a uniform circul...

A particle is moving in a uniform circular motion on a horizontal surface. Particle position and velocity at time `t = 0` are shown in the figure in the coordinate system. Which of the indicated variable on the vertical axis is incorrectly matched by the graph shown alongside for particle’s motion-

A

x component of velocity

B

y component of force keeping particle moving in a circle

C

Angular velocity of the particle

D

x coordinate of the particle

Text Solution

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so X component of velocity `V_(x)=-V sin omegat`
y component of force `F_(y)=- mv^(2)//R sin omegat=- m omega^(2) R sin omegat`
Angular velocity of particle `omega`=const.
X-coordinate of the particle `x=R cos omega t`. So B,C,D are correctly matched
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