Two cylindrical hollow drums of radii R and 2 R, and of a common height h, are rotating with angular velocities ω (anti-clockwise) and ω (clockwise), respectively. Their axes, fixed are parallel and in a horizontal plane separated by 3 R + δ . They are now brought in contact (δ→0)

Q: Two cylindrical hollow drums of radii R and 2 R, and of a common height h, are rotating with angular velocities ω (anti-clockwise) and ω (clockwise), respectively. Their axes, fixed are parallel and in a horizontal plane separated by 3 R + δ . They are now brought in contact (δ→0)

I . Show the frictional forces just after contact.

II . Identify forces and torques external to the system just after contact.

III . What would be the ration of final angular velocities when friction ceases ?