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Question: Answered & Verified by Expert
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-

PhysicsLaws of MotionJEE Main
Options:
  • A y component of force keeping particle moving in a circle

  • B x component of velocity

     
  • C Angular velocity of the particle

  • D x coordinate of the particle

Solution:
1628 Upvotes Verified Answer
The correct answer is: x component of velocity

 


where, Fx=Fcosθ, and Fy=Fsinθ

at time t, in Uniform circular motion only centripetal force exists constant in magnitude

So, Y - component of force is   Fy =Fsinθ j ^

Fy=Fsinωt j ^ (as, θ=ωt )

So given graph is correct for Fy vs t

In Uniform circular motion.  V= ω r =  constant





V x =Vsinωt j ^

So given graph for V x t  is incorrect.

In Uniform circular motion.,    ω=  constant

ωt   graph is correct



x=rcosθ=rcosωt

xt   graph is correct

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