A hoop with a radius $\displaystyle r$ rotating with an angular velocity $\displaystyle \omega_{0}$ is placed on a rough horizontal surface. A translational velocity $\displaystyle v_{0}$ is imparted to the hoop. Determine the nature of the motion of the hoop, assuming that the force of the sliding friction is $\displaystyle f$.
Answer:Spoiler:
I am unable to determine the answer. Any ideas?