A uniform horizontal disk of mass M and radius R is spinning about the vertical

Question

A uniform horizontal disk of mass M and radius R is spinning about the vertical axis through its center with an angular speed ?. When the spinning disk is dropped onto a horizontal tabletop, kinetic-frictional forces on the disk oppose its spinning motion. Let ?k be the coefficient of kinetic friction between the disk and the tabletop. (a) Find the torque d? exerted by the force of friction on a circular element of radius r and width dr. (Use any variable or symbol stated above along with the following as necessary: g.

Explanation / Answer

(2?kMg/R2)r2dr

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