Solution of task 21.1.3 from the collection of Kepe OE

Solution of task 21.1.3 from the collection of Kepe OE

21.1.3
A toothed crown 1 with a mass of 40 kg can rotate relative to the center 2, compressing the springs. In the equilibrium position, the springs are not deformed. Determine the natural frequency of small oscillations of the crown. The radius of inertia of the crown is 0,24 m, the spring stiffness coefficient of one spring is 5 • 105 N / m, radius r = 0,2 m. (Answer 29,7)