(Solution) - Figure shows a hollow cylindrical tube of mass M length -(2025 Original AI-Free Solution)

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Figure shows a hollow cylindrical tube of mass M, length L, and moment of inertia ML2/10. Inside the cylinder are two masses m, separated a distance ? and tied to a central post by a thin string. The system can rotate about a vertical axis through the center of the cylinder. With the system rotating at w, the strings holding the masses suddenly break. When the masses reach the end of the cylinder, they stick. Obtain expressions for the final angular velocity and the initial and final energies of the system. Assume that the inside walls of the cylinder are frictionless.