During a short interval the slotted guides are designed to move according to x = 16 − 12t + 4t² and y = 2 + 15t − 3t², where x and y are in millimeters and t is in seconds. At the instant when t = 2 s, determine the radius of curvature ρ of the path of the constrained pin P.

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P- y Problem 2/123