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Describe Motion of Ball On Turntable (Simple Harmonic Motion

  1. Dec 10, 2016 #1
    1. The problem statement, all variables and given/known data
    ball turntable 2.png
    A spherical ball of mass “m”, moment of inertia “I” about any axis through its center, and radius “a”, rolls without slipping and without dissipation on a horizontal turntable (of radius “r”) describe the balls motion in terms of (x,y) for a function of time.

    **The turntable is rotating about the vertical z-axis at a constant unspecified angular velocity.

    **Radius and mass of the turntable and the ball are unspecified.

    Can someone please show me step by step how to solve this problem?

    2. Relevant equations
    (angular momentum at Center of Mass)=(moment of inertia of a ball)*(angular velocity) or
    hcm=IW

    (angular momentum at Point P)=(angular momentum at Center of Mass)+(Radius “a”) cross product (linear momentum)

    hp= hcm+ a x p

    3. The attempt at a solution
    I'm really lost and need some guidance can someone please help me with this?
     
  2. jcsd
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