How Does the Sum of Angular Velocities Affect System Motion in Physics?

AI Thread Summary
The discussion centers on the concept of summing angular velocities in a physics problem involving a massless tube with one end attached to a rotating object and the other to a disk. The angular velocities are given as w1=(0, 1, 0) and w2=(0, 0, 2), leading to a resultant angular velocity of w1+w2. Participants clarify that this sum must be calculated vectorially, taking into account the components of each angular velocity. The kinetic energy of the system can also be derived from this resultant angular velocity. Understanding the implications of w1+w2 is crucial for analyzing the system's overall motion.
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Homework Statement


Suppose we have a horizental massless tube.
One end of the tube is welded to seomthing that rotates on an angular velocity of w1=(0, 1, 0), on the other end of the tube there is a disk, which rotates with an angular velocity of w2=(0, 0, 2)
The system's angular velocity is w1+w2, and the kinetic energy of the system may be calculated, but I don't understand what is the meaning of the angular velocity w1+w2 in respect to the problem.
Thank you.


Homework Equations





The Attempt at a Solution

 
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If you are asking for the resultant of the two angular velocities, then you have to add them vectorially, component-wise that is.
 

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