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

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Non-pure rolling refers to rolling with slipping, where the object does not maintain a fixed point of contact with the surface. The equation v_roller + rω = v_plank highlights the relationship between the velocities involved in rolling motion, with v_roller being the velocity from friction between the ground and the roller, and rω from the interaction between the roller and the plank. Pure rolling is an idealized scenario, while real-world objects often experience some degree of slipping. It is possible for an object to transition from non-pure to pure rolling if it satisfies the condition v = rω. Understanding these dynamics is crucial for analyzing rotational motion in various physical contexts.
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 ?
 
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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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