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Consider a disk of radius R = 1that is rotating at constant angular rate Ω = 0.2 rad/s about an inertially fixed point O, as shown in Figure 8.29. Body frame is fixed to the disk. Particle P is launched with respect to O in B at velocity There are no external forces acting on P after it is launched.

a. Using the coordinates find the equations of motion of P.
b. Integrate the equations of motion in matlab for 2 s and plot position rP/O(t) from the perspective of an observer in
c. Using the coordinates (x, y)B, find the equations of motion of P
d. Integrate the equations of motion in matlab for 2 s, and plot the position rP/O(t) from the perspective of an observer in B.

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