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A mass m is moving horizontally with a speed of 3.14 m/s just before it strikes...

A mass m is moving horizontally with a speed of 3.14 m/s just before it strikes a uniform rod of the same mass with length L = 2.12 m, which is initially hanging vertically. The rod is supported by a friction-less axle through a point L/4 down from the upper end of the rod. To what maximum angle (in degrees, with respect to its initial vertical position) will the rod swing before coming back down?

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