The motor housing and its bracket rotate about the \(Z\)-axis at the constant rate \(\Omega=3 \mathrm{rad} / \mathrm{s}\). The motor shaft and disk have a constant angular velocity of spin \(p=8 \mathrm{rad} / \mathrm{s}\) with respect to the motor housing in the direction shown. If \(\gamma\) is constant at \(30^{\circ}\), determine the velocity and acceleration of point \(A\) at the top of the disk and the angular acceleration \(\alpha\) of the disk.

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350 2 300 mm mm B X x A -120 mm --Y. 150 mm