Solve this:

Q. A uniform solid sphere of mass M= 1 kg and radius R = 50 cm is projected with velocity v₀ = 1 m/s and simultaneously given a reverse spin $\omega$ ₀ as shown in figure. The horizontal surface is rough. What is initial angular velocity $\omega$ ₀ for which rotation and translation stops simultaneously in subsequent motion. 


(1) 1 rad/s                   (2) 2 rad/s
(3) 4 rad/s                   (4) 5 rad/s