Question

A uniform solid cylinder of radius R is spinned about its axis to the angular velocity ${\omega }_0$ and then placed into a corner. see the figure. The coefficient of kinetic friction between the cylinder and the two surfaces (wall and floor) are same and equal to:
Calculate the angular acceleration of the cylinder.

• A. $\frac{\mu_k(1+\mu_k)g}{(1+\mu_k^2)R} in clockwise direction
• B. $\frac{\mu_k(1+\mu_k)g}{(1+\mu_k^2)R} in anticlockwise direction
• C. $\frac{2\mu_k(1+\mu_k)g}{(1+\mu_k^2)R} in clockwise direction
• D. $\frac{2\mu_k(1+\mu_k)g}{(1+\mu_k^2)R} in anticlockwise direction

Answer 1

Answer: (A), (D)

The correct options are
A $\frac{\mu_k(1+\mu_k)g}{(1+\mu_k^2)R} in clockwise direction
D $\frac{2\mu_k(1+\mu_k)g}{(1+\mu_k^2)R} in anticlockwise direction