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-

Step-by-step solution

where, F x = F cos θ , and F y = F sin θ at time t , in Uniform circular motion only centripetal force exists constant in magnitude So, Y - component of force is ⇒ F y → = − F sin θ j ^ F y = − F sin ω t j ^ (as, θ = ωt ) So given graph is correct for F y vs t In Uniform circular motion. V = ω r = constant ⇒ V x → = − V sin ω t j ^ So given graph for V x − t is incorrect. In Uniform circular motion., ω = constant ∴ ω − t graph is correct ∵ x = r cos θ = r cos ω t ⇒ x − t graph is correct