Q: A disc is rolling (without slipping) on a horizontal surface. C is its centre and Q and P are two points equidistant from C. Let vP, vQ and vC be the magnitude of velocities of points P, Q and C respectively, then

(a)v_{Q} > v_{C} > v_{P}

(b)v_{Q} < v_{C} < v_{P}

(c)v_{Q} = v_{P} , v_{C} = (1/2) v_{P}

(d)v_{Q} < v_{C} > v_{P}

Ans: (a)

Sol: Velocity of any Point on the disc is v = r ω ; where r= distance of the point from bottom most point

AS , $\large r_Q > r_C > r_P$

Hence , $\large v_Q > v_C > v_P$