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Two cylindrical hollow drums of radii R ...

Two cylindrical hollow drums of radii `R and 2R`, and of a commom height h, are rotating with angular velocities `omega` (anti-clockwise) and `omega` (clockwise), respectively. Their axes, fixed are parallel and in a horizontal plane separated by `(3R + delta)`. They are now brought in contact `(delta rarr 0)`.
(a) Show the frictional forces just after contact.
(b) Identify forces and torque external to the system just after contact.
(c ) What would be the ratio of final angular velocities when friction ceases ?

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