Four identical balls of mass m are attached at rods as shown in Fig. 151. The system is rotating about axis C C …xed in rigid bearings. If there were no bearings (the system, for example, would be...

Four identical balls of mass m are attached at rods as shown in Fig. 151. The system is rotating about axis C C …xed in rigid bearings. If there were no bearings (the system, for example, would be hung from a thread) then as it is well known from physics the balls would rotate about axis AA and take up a position in a horizontal plane. In the given case the rigid bearings and elastic rods AA of circular cross-section oppose such rotation. Is it possible to select such angular velocity ! under which the balls will nevertheless rotate for some angle about the AA axis?