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Unformatted text preview: A disk of radius r and mass M is placed on a fixed tube of radius R , as shown in Figure 2. The center of the disk is at a distance l from the ceiling and is attached to the ceiling through a spring of stiffness k 1 and unstretched length l . At the same time, a block of mass m is hanging from the center of the disk on a spring of stiffness k 2 and unstretched length l . We assume that the disk cannot slip on the tube and the lower spring remains vertical on any motion of the system. The constant of gravity is g . Without deriving equations of motion, find sufficient and necessary conditions for the stability of the equilibrium shown in Fig. 2. r m R k 2 Figure 2 l k 1 g...
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- Fall '04