Rotating bar, each end different velocities

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SUMMARY

The discussion centers on a physics problem involving a rotating bar with differing velocities at each end, specifically where one end moves at velocity v1 and the other at v2. The participant seeks to determine the speed of each end relative to the center of mass of the system. The key conclusion is that the tangential velocity of the bar's rotation is indeed v2 - v1, and understanding the relationship between linear and angular motion is crucial for solving this problem.

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  • Understanding of linear and angular motion principles
  • Familiarity with center of mass calculations
  • Knowledge of rotational dynamics
  • Basic grasp of velocity and acceleration concepts
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  • Study the concept of center of mass in rotating systems
  • Learn about the relationship between linear velocity and angular velocity
  • Explore examples of rotational dynamics in physics
  • Investigate the equations of motion for systems with multiple velocities
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Students studying physics, particularly those focusing on mechanics, as well as educators seeking to clarify concepts related to rotational motion and velocity differences in systems.

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Homework Statement


Simple question, but no matter how much I think about it I can't see what I'm doing wrong.
[URL]http://spock.physast.uga.edu/res/uga/PhysicsLib/Matter_and_Interactions/Ch10/figs/mom_and_angmom_stick.png[/URL]


Homework Equations


N/A


The Attempt at a Solution


Basically you have a bar where one side is moving at v1 and the other is moving v2, both in the same direction. So the whole system is moving, and then the bar is also rotating. I thought it would be moving at v1 as a system, and then rotating with a tangential velocity of v2-v1 since v2 > v1. What am I missing?
 
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Find the speed of each end with respect to the center of mass.
 

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