Question

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?

(a) rω₀/3

_(b) rω₀/3

_(c) rω₀/2

_(d) rω₀

Answer 1

Correct Option _(c) rω₀/2

Explanation: 

From the principle of conservation of angular momentum, we have

By conservation law of angular momentum,