Nevermind, I've Done It!" - Success Achieved!

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Homework Help Overview

The discussion revolves around a problem involving the motion of a cylinder rolling down a plane, specifically relating angular displacement to linear distance. Participants are exploring the relationship between the angle of rotation and the distance traveled by the cylinder.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss how to relate the angle of rotation (\phi) to the distance rolled down the plane. There are attempts to clarify the relationship between angular and linear measurements, with some participants questioning how to express this in terms of linear distance.

Discussion Status

Some participants have provided guidance on the relationship between angular displacement and linear distance, while others are still seeking clarification on how these concepts interconnect. Multiple interpretations of the problem are being explored, indicating an active discussion.

Contextual Notes

There appears to be confusion regarding the definitions and relationships between angular and linear measurements, as well as the specific parameters involved in the problem setup.

James1991
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Nevermind I've done it now
 
Last edited:
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Try starting with part (a). If you're having trouble with it, post your work and let us know exactly what's confusing you.
 


diazona said:
Try starting with part (a). If you're having trouble with it, post your work and let us know exactly what's confusing you.

I've been trying for a while now. I don't know how to relate [tex]\phi[/tex] with the distance rolled down the plane. Could really use some help if you know anything that would help. Thanks
 


If the cylinder rotates by an angle [itex]\phi[/itex], how much does the outer edge of the cylinder move?
 


diazona said:
If the cylinder rotates by an angle [itex]\phi[/itex], how much does the outer edge of the cylinder move?

[itex]\phi[/itex] = [itex]\phi[/itex](0) + w(0)*t +(1/2 alpha*time-squared)?
 


No. I'm asking for a linear distance (something you would measure in meters).
 


diazona said:
No. I'm asking for a linear distance (something you would measure in meters).

oh sorry, s = r[tex]\phi[/tex]
 


Yep, that's it. Now how does that distance s relate to the distance the cylinder rolled along the surface?
 

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