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{"ops":[{"insert":"Two hollow spheres of radius\u00a0R=10\\,\\mathrm{cm}\n"},{"attributes":{"italic":true},"insert":"R"},{"insert":"=10cm\u00a0are made of copper and connected with a cylindrical copper rod of length\u00a0L=1\\,\\mathrm{m}\n"},{"attributes":{"italic":true},"insert":"L"},{"insert":"=1m\u00a0and radius\u00a0r=1\\,\\mathrm{mm}\n"},{"attributes":{"italic":true},"insert":"r"},{"insert":"=1mm. The total mass of this dumbbell-like system is\u00a0m=150\\,\\mathrm{g}\n"},{"attributes":{"italic":true},"insert":"m"},{"insert":"=150g. The entire system is in a very strong magnetic field\u00a0B=2\\,\\mathrm{MT}\n"},{"attributes":{"italic":true},"insert":"B"},{"insert":"=2MT\u00a0which is perpendicular to the rod. This \u201cdumbbell\u201d is given an initial velocity\u00a0v=1\\,\\mathrm{m\/s}\n"},{"attributes":{"italic":true},"insert":"v"},{"insert":"=1m\/s\u00a0which is parallel to the direction of the rod. However, this orientation is unstable: the \u201cdumbbell\u201d will start oscillating; eventually, these oscillations decay so that the \u201cdumbbell\u201d will take a stable orientation and a new final speed\u00a0u\n"},{"attributes":{"italic":true},"insert":"u"},{"insert":". Find an expression for this terminal speed\u00a0u\n"},{"attributes":{"italic":true},"insert":"u"},{"insert":"\u00a0analytically and evaluate it numerically. The \u201cdumbbell\u201d moves in weightlessness in a total vacuum.\n"}]}

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