Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_144

2/144 The rod $OA$ is held at the constant angle $\beta = 30^\circ$ while it rotates about the vertical with a constant angular rate $\dot{\phi} = 120 \text{ rev/min}$. Simultaneously, the sliding ball $P$ oscillates along the rod with its distance in millimeters from the fixed pivot $O$ given by $R = 200 + 50 \sin 2\pi nt$, 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.