The figure shows the circular motion of a particle. The radius of the circle, the period, the sense of revolution and the initial position are indicated in the figure. The simple harmonic motion of the x-projection of the radius vector of the rotating particle P is
(b)
(c)
Given: T=30s, OQ=B.
The projection of the radius vector on the diameter of the circle when a particle is moving with uniform angular velocity (ω) on a circle of reference is SHM. Let the particle go from P to Q in time t. Then ∠POQ=ωt=∠OQP. The projection of radius OQ on the x-axis will be OR=x(t) say.