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Oscillating rectangular plate

  1. Dec 18, 2004 #1
    How do i find the period of small oscillations and length of the equivalent simple pendulum, for a rectangular plate (edges a and b) suspended at its corner and oscillating in vertical plane?

    T = 2pi (I/mgl)^1/2
    i calculated l (length) to be (a^2 + b^2 )^1/2 ---(the diagonal) is this right?

    I = m/3 (a^2 + b^2)

    when i try to plug this into T though, it gets nasty and i'm not sure this is right. help!!!
     
  2. jcsd
  3. Dec 18, 2004 #2

    dextercioby

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    1.I guess last night's discussion really helped. :tongue2: The moment of inertia is correct. :tongue2:
    2.The initial formula is correct.
    3.The diagonal is correctly calculated and it is a vertical axis for equilibrium.
    4.What if it gets nasty??? :biggrin: Phyiscs is not always simple. :yuck:

    Daniel.
     
  4. Dec 18, 2004 #3
    ha ha ha. I think it is possible to simplify it further actually. so...
    can i simplify (a^2 +b^2) / (a^2 + b^2)^1/2 = (a^2 + b^2 )^1/2 ? simply playing with the exponents. ie. 1-1/2
     
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