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## Homework Statement

I'm trying to include rigid body rotation in a problem I'm working on but can't seem to figure it out.

Two shafts oriented vertically are connected by a thin cross member of length [itex]R[/itex]. Holding one shaft stationary and applying a constant tangential load [itex]F[/itex] to the other shaft will cause rotation at some speed [itex]\omega[/itex]. Given the mass [itex]m[/itex] and moment of inertia [itex]I_z[/itex]. Is it possible to calculate the angular velocity?

## Homework Equations

Not sure what we need, but I believe it's going to involve energy.

[itex]K_{rot}=\frac{1}{2}I_z\omega^2[/itex]

Other than that I'm not sure.

## The Attempt at a Solution

No idea. I've been thinking about the problem for the past couple days but can't figure out how to determine the angular velocity given only these variables. If needed I may be able to supply other variables (this is a overly simplified example to give you an idea of the problem).

Thanks.