question_answer

A hoop of radius r and mass m rotating with an angular velocity ω0 is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?                                                                                                                                             [JEE MAIN 2013]

A)   \[\frac{r{{\omega }_{0}}}{4}\]

B)        \[\frac{r{{\omega }_{0}}}{3}\]

C)   \[\frac{r{{\omega }_{0}}}{2}\]

D)        \[r{{\omega }_{0}}\]

Correct Answer: C

Solution :

[c]

COAM about the contact point