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bznm
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1. Homework Statement
The violet sleeve has mass M and is free to move horizontally without friction. The green rod has mass 2M and length L and can rotate around a pivot on the sleeve without friction. At t=0, the rod is in vertical position and is rotating with angular velocity w. What are the physical quantities that are constant? What is the maximum angular amplitude of oscillations and maximum sleeve speed?
2. The attempt at a solution
K_{tot} + U_{tot} = constant (there aren't dissipative forces such as friction)
Linear momentum: there are external forces (weight force and vincular reaction) so it isn't constant.
Angular momentum: whatever pole I choose there is some external force that have nonzero torque, so it isn't constant.
I tried to solve the problem calculating the torque with respect to the pivot, but the problem is: that pole is in motion, so I don't have
Could you help me?