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A light-weight potter’s wheel, having a moment of inertia of 24 kg*m^2, is spinning freely at...

A light-weight potter’s wheel, having a moment of inertia of 24 kg*m^2, is spinning freely at 40 rpm. The potter drops a small but dense lump of clay onto the wheel, where it sticks a distance 1.2m from the rotational axis. The subsequent angular speed of the wheel and clay is 32 rpm.

The axis of the wheel is vertically directed, and the wheel is initially spinning in the counter-clockwise direction when looking down on the wheel from above. After the lump of clay is dropped onto the wheel, in what direction is the angular acceleration vector pointing as the angular speed changes?

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