Q4. A wobble plate device consists of a horizontal shaft supported by bearings at A and B, and a thin
disk is shown in Figure Q4. The shaft rotates at a constant rate $\Omega$ = 4 rad/s and the disk spins at a
constant rate $\omega$ = 16 rad/s relative to shaft AB. Given that the mass of the shaft AB is negligible, the disk
has a radius r = 0.2 m and a mass m = 4 kg and the inclination angle tan $\theta$ = 3/4, L = 0.4 m, determine
i.
The total angular velocity and acceleration of the disk
ii.
The angular momentum of the disc about its mass centre
iii.
The angular momentum of the disc bout point B
iv.
The effective moment of the disc about its support at B
v.
The dynamic reaction at bearing A.