Question

A disc is performing pure rolling on a smooth stationary surface with constant angular velocity as shown in figure. At any instant, for the lower most point of the disc.

• A. Velocity is v, acceleration is zero
• B. Velocity is zero, acceleration is zero
• C. Velocity is v, acceleration is $\frac{v^{2}}{R}$
• D. Velocity is zero, acceleration is nonzero

Answer 1

Answer: (D)

Velocity is zero, acceleration is nonzero

Answer 2

From figure

V_net (for lowest point) = v – Rw = v – v = 0

and Acceleration = $\frac{v^{2}}{R}$+ O = $\frac{v^{2}}{R}$

(Since linear speed is constant)

Hence (4)