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What is this kinetic energy?

  1. Dec 7, 2017 #1
    1. The problem statement, all variables and given/known data
    The bearing of a rigid pendulum of mass is forced to rotate uniformly
    with angular velocity (see Figure P. 1.32). The angle between the rotation
    axis and the pendulum is called θ.Neglect the inertia of the bearing and of
    the rod connecting it to the mass. Neglect friction. Include the effects of
    the uniform force of gravity.
    upload_2017-12-7_22-17-39.png

    2. Relevant equations
    upload_2017-12-7_22-18-11.png
    What represents the second term of the total kinetic energy of the system?
    3. The attempt at a solution
    I used the lagrangian mechanics to solve the problem.
     
  2. jcsd
  3. Dec 7, 2017 #2

    haruspex

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    At any instant, we can resolve the motion of the bob into two orthogonal motions, both perpendicular to the pendulum rod: a horizontal velocity normal to the vertical axis and a velocity in the vertical plane through the rod. These correspond to the two KE terms.
     
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