Direction of Friction for Rolling Spheres on Rough Surfaces

AI Thread Summary
The discussion focuses on the direction of friction for a smooth spherical body rolling on a rough surface, clarifying that friction acts in the opposite direction to the motion of the sphere. It is noted that pure rolling can occur without friction if the condition v = ωR is met, where v is linear speed, ω is angular speed, and R is the radius. However, achieving pure rolling without friction is complex and requires external forces to maintain this state. The conversation also highlights that when an object rolls without slipping at constant speed, the friction force can be considered zero. Overall, the relationship between rolling motion and friction is nuanced, depending on various factors like initial conditions and external influences.
SDewan
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Hi all,
Can anyone please help me out with the direction of friction in a case where there is a smooth spherical body pure rolling on a rough surface? What is the direction of friction?
Also, is it possible to have pure rolling without friction?

Thanks
SD
 
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Depends on the inital situation. Most frequent case: if a ball is sliding over a surface, the backwards friction will make it change over to rolling without slipping.

But if it hits the ground spinning like crazy (around a horizontal axis), the forward acting friction will accelerate the motion while adjusting the rate of rotation until there is no more slipping.

And yes: pure rolling without friction is possible. All that is required is ##v = \omega R ## (speed = angular speed times radius)[edit] sorry, missed the 'pure' as in pure rolling (meaning rolling without slipping). Agree with Russ #5.
 
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SDewan said:
Also, is it possible to have pure rolling without friction?
You can always potential run into trouble if you work with models that are a mixture of ideal and practical. If you have 'no friction' then your model is very limited. You have to work with a very low value of friction - not zero.
BvU said:
And yes: pure rolling without friction is possible. All that is required is v=ωRv=ωRv = \omega R (speed = angular speed times radius)
You would need to set up that condition with some external force to produce the rolling.
 
sophiecentaur said:
You can always potential run into trouble if you work with models that are a mixture of ideal and practical. If you have 'no friction' then your model is very limited. You have to work with a very low value of friction - not zero.

You would need to set up that condition with some external force to produce the rolling.
I think life is simpler: any time an object is rolling without slipping at constant speed, the friction force is zero - regardless of how it got to be that way.

If you want to quibble about exactness of such a scenario, roll a ball down a shallow incline. At some point it will reach a terminal velocity, where friction against the surface is exactly zero.
 
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russ_watters said:
I think life is simpler: any time an object is rolling without slipping at constant speed, the friction force is zero - regardless of how it got to be that way.

If you want to quibble about exactness of such a scenario, roll a ball down a shallow incline. At some point it will reach a terminal velocity, where friction against the surface is exactly zero.
You're right . . . . . until you have to deal with yet another question on PF about it. :wink:
 
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