Two point masses m1 and m2 are separated by a

Two point masses m1 and m2 are separated by a

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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