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Calculating the moment of inertia for this configuration

  1. Mar 10, 2012 #1
    1. The problem statement, all variables and given/known data
    I need to find the rotational kinetic energy of this system in the figure I have provided. Here the spring is rotating with the system at angular speed [itex]\omega[/itex]. The two beads on the wire move vertically, and the third bead is held by two massless rods of equal length L.


    3. The attempt at a solution
    Would the moment of inertia for the the whole thing just be

    [itex]I_{1,3}=2mL^{2}[/itex]

    [itex]I_{2,3}=2mL^{2}[/itex]

    [itex]I_{total}=4mL^{2}[/itex]

    Any suggestions would be helpful.
     

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    Last edited: Mar 10, 2012
  2. jcsd
  3. Mar 10, 2012 #2

    SammyS

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    attachment.php?attachmentid=44946&d=1331411191.jpg

    It looks as though the system is constrained to rotate about the z-axis.

    You need to find the moment of inertia about the z-axis.
     
  4. Mar 10, 2012 #3
    Will it depend on the angle [itex]\alpha[/itex]?
     
  5. Mar 10, 2012 #4

    SammyS

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    Yes it will depend on α .
     
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