Combined rotational and translational kinetic energy

AI Thread Summary
To determine the total kinetic energy of a long thin rod rotating around an axis while also translating, first calculate the rotational kinetic energy about its center of mass using the formula for rotational energy. Then, apply the Parallel Axis Theorem to account for the rod's motion about the axis of rotation. The translational kinetic energy must also be considered, which is calculated using the rod's mass and its constant translational velocity. The total kinetic energy is the sum of the rotational and translational energies. This approach effectively addresses the unsymmetrical nature of the system.
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How would I determine the total kinetic energy of a long thin rod which is connected at one end to an axis and which rotates around this axis with a constant angular velocity, and the axis moves with a constant translational velocity? I am not sure how to go about this with this unsymmetric situation.
 
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Calculate the rotational energy about its center of mass, then use the Parallel Axis Theorem.
 

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