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Rotating hoop with body fixed inside of same mass

  1. Jul 10, 2014 #1
    1. The problem statement, all variables and given/known data

    A small body A is fixed to the inside of a thin rigid hoop of radius R and mass equal to that of the body A. The hoop rolls without slipping over a horizontal plane; at the moments when the body A gets into the lower position, the center of the hoop moves with velocity v0. At what values of v0 will the hoop move without bouncing?



    2. Relevant equations
    mgcos(θ)−N=mv2/R
    One equation will be the energy equation. The velocity of hoop and mass A will reduce as the body A is gaining the potential energy.

    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Jul 12, 2014 #2

    Andrew Mason

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    Homework Helper

    What will cause the hoop to bounce? Think of the force on the mass A and the centripetal force required to keep it rotating when mass A is at its highest point (highest velocity).

    AM
     
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