The rod OA is held at the constant angle = 30 while it rotates about the

Question:

The rod OA is held at the constant angle β = 30° while it rotates about the vertical with a constant angular rate θ˙= 120 rev/min. Simultaneously, the sliding ball P oscillates along the rod with its distance in millimeters from the fixed pivot O given by R = 200 + 50 sin 2πnt, where the frequency n of oscillation along the rod is a constant 2 cycles per second and where t is the time in seconds. Calculate the magnitude of the acceleration of P for an instant when its velocity along the rod from O toward A is a maximum.