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Question: Two point masses m1 and m2 are separated by a massless rod of length L. (a) write an expression for the moment of inertia

Question:

Two point masses m1 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 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.

Answer:

 
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