Rod OA rotates relative to the vertical axis OB with angular velocity (Fig. 58). The angle between the axis and the rod is equal to a. A coupling of mass M, connected to point O by a spring, slides along the rod without friction. Determine the position of the coupling during rotation if it is known that the length of the spring in the undeformed state is l0, the spring stiffness is k. Note, The tension force F of the spring is proportional to its elongation: F = kx, where x = l - l0.

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