Two balls with masses m1 = 500 g and m2 = 300 g are connected to each other by an inextensible thread and mounted on a horizontal rod so that they can move along the rod (Fig.). The rod rotates around a vertical axis located between the balls. At what distance from the axis of rotation should the center of the larger ball be located so that during rotation the balls are kept at a constant distance from the axis of rotation, if the distance between the centers of the balls is l = 20 cm? Will the uniform rotational motion of a thread with balls be stable? Neglect the mass of the rod and thread, as well as the friction between the surfaces of the rod and the balls.

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