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A stiff, thin, metal rod with negligible mass is free to rotate in a vertical plane about pivot point P, as shown in the

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A stiff, thin, metal rod with negligible mass is free to rotate in a vertical plane about pivot point P, as shown in the figure below. The rod has three small beads (labeled 1, 2, and 3 in the figure), all with the same mass m, attached to it as shown. The rod is held horizontally and then released from rest at time t = 0. Find all results below in terms of the mass m, distance d, and acceleration due to gravity g. P m m 1 2 23 3 m (a) What is the moment of inertia of the system of three particles about the pivot point P? I = (b) What is the net torque magnitude about point P at t = 0? net (c) What is the angular acceleration of the system about point P at t = 0? magnitude = direction ---Select--- (d) What is the linear acceleration of bead 3 at t = 0? magnitude a = direction ---Select--- (e) What is the maximum kinetic energy of the system? Kmax = (f) What is the maximum angular speed about point P attained by the rod? @ max (g) What is the maximum angular momentum of the system about point P? (Enter the magnitude.) Lmax (h) What is the maximum speed attained by bead 2? V = max

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