Physics

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A uniform rod of length L and mass m initially at rest is struck by a horizontal force F0 a distance x below the pivot O. The rod is free to rotate about its pivot without friction. If F0 is the average value of the force and Δt is its duration.
(a) What is the speed of the center of mass of the rod just after the rod is struck? Express your answer in terms of F0, Δt, L, x and M.
(b) What is the horizontal component of the force exerted by the pivot on the rod at the instant when the rod is struck? Express your answer in terms of F0, x, and L.
c)Where is the point of impact x such that the horizontal component of the force exerted by the pivot on the rod is zero? Express your answer in terms of L.

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