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A Uniform, Hollow, Cylindrical Spool

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Please help with the following classical mechanics problem. See attached file for full problem description.

A uniform, hollow, cylindrical spool has inside radius R/2, outside radius R and mass M as in the attached .jpg. It is mounted so that it rotates on a fixed horizontal axle. A counterweight of mass m is connected to the end of a string wound around the spool. The counterweight falls from rest at t = 0 to a position of y at time t. Show that the torque due to the friction forces between spool and axle is Tf= R { m [ g - (2y / t^2)] - M (5y / 4t^2)}

Please see the attached file for an accompanying illustration.

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The following posting helps with a physics problem that involves calculating torque for a hollow, uniform and cylindrical spool. Step by step calculations and diagrams are included.