Perfectly smooth floor? I know what happens to me on the ice rink...my feet go one way, and my body feels like it is going the other way, but by torso hits just where my feet started, and my head is really moving when it hits.
Won't the rod do the same? What is the moment of inertia about the cg? What is the PEnergy of the rod originally about the cg?
I will be happy to critique your work.
a thin rod of length 2R and mass M is standing vertically on a perfectly smooth floor. the state of equilibrium in which the rod at rest is unstable and the rod falls. FInd the trajectories that the various points of rod describe and velocity with which the upper end of rod hits the floor ?
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