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Rigid Body Rotation Application

  1. Nov 26, 2011 #1
    1. The problem statement, all variables and given/known data
    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?

    2. Relevant 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.

    3. 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.
     
  2. jcsd
  3. Nov 27, 2011 #2

    ehild

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    I have no idea about this problem without a picture...


    ehild
     
  4. Nov 27, 2011 #3
  5. Nov 27, 2011 #4

    ehild

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    Applying that constant tangential force F means constant torque (τ=R*F) with respect to the fixed axis and constant angular acceleration: β=τ/I, where I is the moment of inertia, again with respect to he fixed axis. The angular velocity will change with time.

    ehild
     
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