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

Options

A. Velocity is v, acceleration is zero
B. Velocity is zero, acceleration is zero
C. Velocity is v, acceleration is `(v^(2))/R`
D. Velocity is zero, acceleration is nonzero

Answer

D

Explanation

`V_("net")("for lowest point")=v-Romega=v-v=0`
`"and Acceleration"=v^(2)/R+0=v^(2)/R`
(Since linear speed is constant)