A washer of mass m is attached by two identical springs to the ends of a rod rotating around a vertical axis passing through its middle (Fig. 59). Neglecting the friction between the washer and the rod, find the angular velocity of the latter at which circular motion of the washer is possible. At what distance from the middle of the rod should the washer be located? The ratio of the force deforming the spring to the change in its length is constant and equal to k.

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