A winding oscillator consists of two steel spheres on each end of a long slender rod, as

Chapter 0, Problem P2.38

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A winding oscillator consists of two steel spheres on each end of a long slender rod, as shown in Figure P2.38. The rod is hung on a thin wire that can be twisted many revolutions without breaking. The device will be wound up 4000 degrees. How long will it take until the motion decays to a swing of only 10 degrees? Assume that the thin wire has a rotational spring constant of 2 X 10~4Nm/rad and that the K< * l X FIGURE P2.37 Two-mass system. Q-0.5 m4 FIGURE P2.38 Winding oscillator. viscous friction coefficient for the sphere in air is 2 X 10~4 N m s/rad. The sphere has a mass of 1 kg.

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