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Angular acceleration of off balance wheel starting from rest

  1. Apr 29, 2016 #1
    1. The problem statement, all variables and given/known data
    A 30 kg wheel has a center of mass 0.1 m left from the center of the wheel and radius of gyration KG = 0.15 m. Find the angular acceleration if the wheel is originally at rest. The radius of the wheel is 0.25m.

    2. Relevant equations
    I=mk^2
    T=f*d
    M=I*a
    Fn acting bottom in Y direction = m*g

    3. The attempt at a solution
    I=mk^2=(30)*(15^2)=0.675kg*m^2
    Fx=0

    Fn=(30*9.81)=294.3N
    Sum of force in Y: Fn-mg=mass*angular acceleration*radius to center
    294.3-294.3=30*a*0.1

    Moment about center =ig*a*radius to center of mass
    (294.3*.1)=(.675)*a*.1

    ... lost from here?

    Apparently answer is 10.3 rad/s^2

    Help please! Been working on this for hours
     
  2. jcsd
  3. May 2, 2016 #2

    NascentOxygen

    User Avatar

    Staff: Mentor

    I think we need the complete problem statement as it was provided to you, including the illustration.
     
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