Solving the Puzzle of Chain Energy: Tips & Tricks

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SUMMARY

The discussion focuses on solving problems related to chain energy, specifically involving two different radii and angular velocities of wheels. Key insights include the importance of establishing a frame of reference that moves at the same velocity (v) to simplify the analysis. Participants emphasize calculating the angular velocity of the wheels and the kinetic energy (KE) associated with both the chain's motion and the overall system's linear motion. These foundational concepts are critical for accurately solving chain energy problems.

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  • Understanding of angular velocity and its calculations
  • Familiarity with kinetic energy (KE) concepts
  • Knowledge of reference frames in physics
  • Basic principles of rotational motion
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  • Research methods for calculating angular velocity in rotating systems
  • Study kinetic energy equations for both linear and rotational motion
  • Explore the concept of reference frames in classical mechanics
  • Investigate advanced problems involving chain energy and rotational dynamics
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Physics students, educators, and anyone interested in understanding the dynamics of chain energy and rotational motion in mechanical systems.

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Homework Statement
Can someone help me with this physics excercise?
Calculate the energy of the chain shown in the figure, if the center of gravity (center of mass) of the rollers travel with v speed.The weight of the rollers are negligible, the chain is considered inextensible, but perfectly flexible. The weight of the chain is m.
Thanks in advance.
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I attached a picture of the other one that we did in class. My biggest problem is that I can't go to physics class, because I have another more important class at the same time.
I don't need the whole answer just a few tips to do it. I think it's something with the two different radiuses, but I'm really bad at this.
We did a similar one in class, but there is a trick in this one that I can't figure out.
 

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Deleted due to following post.
 
It will help to start with a frame of reference that moves at the same velocity v. In this frame, the two wheels just rotate on their own axes.
At what angular velocity do they rotate? So how fast is the chain moving, and what KE does it have?
Then add the KE associated with the linear motion of the system as a whole.
 

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