Car-bar energy

  • Thread starter enkar
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If a cart is moving in the x-direction and has a bar (not a pedulum) attached to its center that will rotate, what are the terms of the kinetic energy? I'm having a hard time figuring out what the kinetic engery of the rotating+translating bar is. Can someone break it all down into each of the terms, please?
 

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arildno
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Since the bar is a rigid object(?), its kinetic energy may be written as:
[tex]KE=\frac{1}{2}m\vec{v}_{C.M}^{2}+\frac{1}{2}\vec{\omega}\cdot\vec{L}_{C.M}[/tex]

Here, we have:
m-object's mass
[tex]\vec{v}_{C.M}[/tex]-velocity of center of mass (C.M)
[tex]\vec{\omega}[/tex]-rotational velocity of object
[tex]\vec{L}_{C.M}[/tex]-angular momentum of object, computed relative yo C.M
 

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