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A rod with length L and mass M hangs vertically on a frictionless, horizontal axel passing...

A rod with length L and mass M hangs vertically on a frictionless, horizontal axel passing through its center. A ball of mass m traveling horizontally at speed v0 hits and sticks to the very bottom tip of the rod. To what maximum angle, measured from vertical, does the rod, with the attached ball, rotate? Answer in terms m, M, v0, L, and g.

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