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The 0.2-kg pin P is constrained to move in the smooth curved slot, which is defined by the lemniscater = (0.6 cos 2theta) m. Its motion is controlled by the rotation of the slotted arm OA, which has a constant clockwise angular velocity of theta= -3 rad/s. Determine the force arm OA exerts on the pin P when theta= 0°. Motion is in the vertical plane.

Fig: 1

Fig: 2