The electric motor with an attached disk is running at a constant low speed of (120 mathrm{rev}

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The electric motor with an attached disk is running at a constant low speed of \(120 \mathrm{rev} / \mathrm{min}\) in the direction shown. Its housing and mounting base are initially at rest. The entire assembly is next set in rotation about the vertical \(Z\)-axis at the constant rate \(N=60 \mathrm{rev} / \mathrm{min}\) with a fixed angle \(\gamma\) of \(30^{\circ}\). Determine (a) the angular velocity and angular acceleration of the disk, (b) the space and body cones, and (c) the velocity and acceleration of point \(A\) at the top of the disk for the instant shown.

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