How will objects roll in the absence of friction?

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Discussion Overview

The discussion explores the behavior of objects, particularly spherical ones, on a frictionless surface, focusing on whether they can roll or will only slide laterally when subjected to a force field. The scope includes theoretical mechanics and the implications of friction on rolling motion.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether a spherical object would roll or slide laterally on a frictionless surface when subjected to a force field, considering the mechanics of rolling and the role of torque.
  • Another participant asserts that the object would not roll in the absence of friction, indicating that it would simply slide without rotation.
  • A different participant explains that without torque, angular momentum is conserved, leading to the conclusion that the object would slide over the surface without changing its angular velocity.
  • One participant expresses difficulty in visualizing a spherical ball moving laterally without rolling, citing a lack of real-life experience with frictionless surfaces.
  • Another participant suggests experimenting with slippery surfaces, like black ice, to observe the effects of low friction on rolling and sliding behavior.
  • A later reply mentions the phenomenon of slipping followed by rolling in the context of bowling, illustrating a transition from sliding to rolling under certain conditions.

Areas of Agreement / Disagreement

Participants generally agree that in the absence of friction, a spherical object would not roll and would instead slide laterally. However, there are differing views on the implications of this behavior and the conditions under which rolling might occur.

Contextual Notes

Participants reference the conservation of angular momentum and the mechanics of torque without resolving the complexities of these concepts in relation to frictionless surfaces. The discussion remains open regarding the conditions that might allow for rolling under specific scenarios.

schrodingerscat11
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I am just wondering (out of curiosity) these past few days what would happen if an object rolls on a frictionless surface.

I was thinking if a spherical object is on a free space and is subjected to some force field, I think it would just move laterally to the direction of the field and would not roll, isn't it?

But if that object is on a horizontal frictionless surface and is subjected to some force field, will it roll or just move laterally like what it would do in free space?

If it rolls, then how does it roll (I am thinking about the mechanics of its rolling)? I was thinking that for objects to rotate or roll, it should have net torque. In free space, the tangential force on the top and bottom part of the spherical object points in the same direction (but moment arms are opposite in direction), hence the torque should cancel. On the surface, the applied force on the top part (which is also acting on the bottom part) and the frictional force at the bottom are opposite in direction, hence their torque should add up. I think it is the frictional force that produces the rolling motion on the surface as opposed to free space.

But in the absence of friction, how can objects roll on a surface? If equal forces are acting on the top and bottom part of the sphere, wouldn't the torque cancel, causing the object to have only lateral motion?

Thank you for reading my question.
 
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You are correct. It would not roll in the absence of friction.
 
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In the absence of torque, angular momentum is conserved.
In other words, an object would not start rolling, so it would just slide over your surface without rotating.

And if it was already rotating (or rolling), it would remain rotating with the same rotation speed.
So it would be sliding over your surface and rotating independently, with or without slipping, but either way without changing its angular velocity.
 
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Hmm.. I see; thank you very much. I was thinking of this and I can't imagine a spherical ball moving just laterally on the surface without rolling (probably because I've never seen frictionless surface in real life.) I also haven't seen any videos. However, my reasoning tells me that it can happen, so I got bothered and can't concentrate on my problem sets. Thank you very much. :D
 
Try it with a really slippery surface, say black ice, and a massive ball (high on inertia).
You'll see. :)

Or perhaps just try bicycling on black ice (I did without intending to).
The wheels have no purchase at all.
Rolling or going straight loose their meaning.
Do to take proper safety precautions because it hurts!
 
You can see slipping of a spherical object initially while bowling. After some time it starts rolling without slipping.
 

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