How Does Non-Pure Rolling Differ from Pure Rolling in Rotational Dynamics?

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Homework Help Overview

The discussion revolves around the concepts of pure and non-pure rolling in the context of rotational dynamics. Participants are exploring the differences between these two types of rolling motion, particularly focusing on the implications of static friction and the conditions under which rolling occurs.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to understand the relationship between the velocities involved in rolling motion, specifically questioning the role of static friction in providing torque. There are inquiries about the nature of non-pure rolling and whether it can still be classified as rolling.

Discussion Status

The discussion is active, with participants raising questions about the definitions and characteristics of pure and non-pure rolling. Some guidance has been offered regarding the nature of non-pure rolling, but there is no explicit consensus on the definitions or implications of these concepts.

Contextual Notes

Participants are grappling with the idealization of pure rolling versus the realities of non-pure rolling, indicating a potential gap in understanding the practical applications of these concepts in real-world scenarios.

DavidLee
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Question:
Refer to https://www.physicsforums.com/threads/rolling-motion-of-plank-and-cylinders.93329/

I am able to understand all the points until the point v_roller+rω=v_plank.
I have a tough time understanding this part.

My attempt at the question:
I think that the static friction at the top and bottom of the roller will provide the external torque. This external torque will provide the rotating motion.

V_roller is the velocity due to the friction between the ground and the roller?
rω is due to the friction between the roller and the plank?

And one more question
I know what is pure rolling but i am wondering how does non pure rolling looks like, is it rolling or not ?
 
Last edited:
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DavidLee said:
And one more question
I know what is pure rolling but i am wondering how does non pure rolling looks like, is it rolling or not ?
"non-pure" rolling usually indicates rolling with slipping.
 
SteamKing said:
"non-pure" rolling usually indicates rolling with slipping.
Is it true that when an object is rolling, it may or may not be pure rolling?
 
DavidLee said:
Is it true that when an object is rolling, it may or may not be pure rolling?
Pure rolling is an idealization of what happens to real, physical objects.

It's like analyzing objects in free-fall, but neglecting air resistance, for example.
 
SteamKing said:
Pure rolling is an idealization of what happens to real, physical objects.

It's like analyzing objects in free-fall, but neglecting air resistance, for example.

From what I know, it is possible for an object that is not rolling without slipping to achieve rolling without slipping even though it have an initial angular velocity and velocity as long as they fulfill the equation v=rω
 

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