Precession Frequency of simple gyroscope

  1. [​IMG]

    To summarize:

    1. The solenoid is supplied with an AC voltage.

    2. Produces an AC magnetic field out of the page

    3. Exerts an AC magnetic force on the Nb-Plate that's placed just outside of one end of the solenoid

    4. There is a fluid circulating in the torus, with angular momentum L in the z-direction (out of the page)

    5. What is the torque exerted on L due to the oscillating Nb-plate which forces the torus to oscillate with it?

    Directions: ∅ (Left-right), θ (In-Out of page)

    [​IMG]




    I'm not sure how they got an extra θ0 term in their torque about ∅. I know in small oscillations, the magnitude of change in L is

    ΔL ≈ θ0L

    which occurs within half a period = T/2:

    ΔL/Δt = 2θ0L/T = 2fθ0L

    which also doesn't match their expression..
     
    Last edited: Jul 22, 2013
  2. jcsd
  3. I have shifted this to the 'Classical Physics' part of the forum. Admin please delete this post if you wish.
     
    Last edited: Jul 23, 2013
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