The rotational speed of the disk is controlled by a 30-g smooth contact arm AB which is spring mounted on the disk.When the disk is at rest, the center of mass G of the arm is located 150 mm from the center O, and the preset compression in the spring is 20 mm. If the initial gap between B and the contact at C is 10 mm, determine the (controlling) speed v_G of the arm’s mass center, G, which will close the gap. The disk rotates in the horizontal plane. The spring has a stiffness of k = 50 N/m, and its ends are attached to the contact arm at D and to the disk at E.

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DG A -150 mm-E k = 50 N/m BC 10 mm