The motion of peg P is constrained by the lemniscate curved slot in OB and by the

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The motion of peg P is constrained by the lemniscate curved slot in OB and by the slotted arm OA. If OA rotates counterclockwise with an angular velocity of θ̇ = (3t³/2) rad/s, where t is in seconds, determine the magnitudes of the velocity and acceleration of peg P at θ = 30°. When t = 0, θ = 0°.

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