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Friction torque vs. contact area

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I promise this isn't homework, it's actually for my research :-P Here goes:

When two bodies are in contact and *translate* with respect to each other, there is no dependence of friction on contact area, and Ff = mu*Fn.

Now, assume we have a block of wood on a table with mass m and we apply a torque to the block's center of mass, rather than a force. Assuming mass is constant and the coefficients of torsional friction are constant, does the friction torque depend on contact area? if so, why, and if not, why not?

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