Two point masses m1 and m2 are separated by a massless rod of length L. a) Write an expression for the moment of inertia about an axis perpendicular to the rod and passing through it at a distance x from mass m1. b) Calculate dI/dx and show that I is at a minimum when the axis passes through the center of mass of the system.
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Two point masses m and m2 are separated by a massless rod of length L. (a) Write an expression for the moment of inertia I about an axis perpendicular to the rod and passing through it a distance x from mass mi. (b) Calculate dl/dx and show that I is at a minimum when the axis passes through the center of mass of the system.
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