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Speed-governing mechanism

  1. Jan 6, 2017 #1
    1. The problem statement, all variables and given/known data
    In the speed-governing mechanism m = 0.2 kg, L = 10cm, (rods AB have negligible mass), w = 500 rpm, θ = 40°,θ' = 0 . Determine θ'' at that instant and the tension in the rod.
    upload_2017-1-7_0-31-35.png
    2. Relevant equations
    F=[ω][/2]r


    3. The attempt at a solution
    First, I calculated ω = 500 rpm * 2π /60 = 52.36 rad/s.
    From the vertical components, I determined T*cosθ = mg
    So T = 2.56 N
    With this, I can calculate the horizontal component of T, but then I have a different ω for the balls and I'm confused. Should I use polar coordinates? If so, how should I start?
     
  2. jcsd
  3. Jan 6, 2017 #2

    haruspex

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    What is F here? If it's a force, the dimensions don't match.
    How do you mean? Remember, this is not equilibrium.
     
  4. Jan 6, 2017 #3
    Ooos I meant m*ω^2 *r

    I see that, so I should find the net force then?
     
  5. Jan 6, 2017 #4

    haruspex

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    Sort of.. depends whether you want to use the inertial frame + centripetal view or object frame + centrifugal view.
    In the latter case it would be net force; in the former you might describe it as the excess acceleration.
     
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