A slotted disk is rotating with a constant angular velocity of w. A ball mass of m slides out from the center of the disk. Kinetic friction force F=mu_k |N| acts on the mass, where N is the normal force between the ball and the channel. Using the body coordinate system i^, j^ fixed to the disk, derive the equation of motion for the mass using r(t) as the generalized coordinate.

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I DIDN'T POST THE PROBLEM:
Enter the equation of motion in terms of r, dotr,m,w and mu_k. (I have w standing for omega)

ddotr=