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Turning a Straight Wire into a wheel with spokes, solve for I

  1. Oct 11, 2007 #1
    1. The problem statement, all variables and given/known data
    A stiff uniform wire of mass M_0 and length L_0 is cut, bent, and the parts soldered together so that it forms a circular wheel having four identical spokes coming out from the center. None of the wire is wasted, and you can neglect the mass of the solder.
     
  2. jcsd
  3. Oct 11, 2007 #2

    learningphysics

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    Can you show your work?
     
  4. Oct 18, 2007 #3
    solving for the moment of inertia i came up with 4/3(M/(L/(2pi+4))^2)
     
  5. Oct 18, 2007 #4

    learningphysics

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    can you show your steps... that's not what I'm getting... some things are similar... some things are different.

    The mass of each spoke is [tex]\frac{1}{2\pi + 4}*M_0[/tex]

    The length of each spoke is [tex]\frac{1}{2\pi + 4}*L_0[/tex]

    What's the moment of inertia of each spoke?

    What's the mass of the circular section? What's the moment of inertia of the circular section?
     
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