The Role of Inertia in Friction and Acceleration

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Homework Help Overview

The discussion revolves around the role of inertia and friction in the motion of a rolling ball, particularly focusing on the conditions under which the ball accelerates or maintains a constant velocity. Participants explore the implications of frictional forces and inertia on the ball's motion on different surfaces.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the nature of the frictional force acting on a rolling ball and its relationship to acceleration. Some express confusion about why a ball rolling at a constant velocity does not experience acceleration despite the presence of friction. Others discuss the distinction between static and kinetic friction and the role of inertia in maintaining motion.

Discussion Status

The discussion is active, with various interpretations being explored regarding the forces acting on the ball. Some participants have offered insights into the relationship between friction and inertia, while others are seeking clarification on the definitions and implications of these forces in the context of rolling motion.

Contextual Notes

Participants are considering the scenario of a ball rolling on a level horizontal surface and the effects of transitioning to a frictionless surface, such as ice. There is an ongoing examination of the assumptions regarding friction and acceleration in this context.

RingNebula57
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We know that when a ball is rolling ( just rolling no slipping) the frictional force is orientated in the direction of motion.
Why isn't the ball accelerating due to frictional force, if it is the only force in the motion direction?

To me it's quite daunting
 
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It is accelerating, its just that the acceleration is negative and opposes motion (commonly known as deceleration).
 
RingNebula57 said:
We know that when a ball is rolling ( just rolling no slipping) the frictional force is orientated in the direction of motion.

Do we? You need to be clear what you mean by frictional force. What frictional force is there if the ball is rolling along at a constant velocity?

Perhaps you mean rolling resistance?
 
phys.jpg

Ff is the friction force that's making the ball roll. If Ff is the only force acting upon the ball in the horizontal direction and the ball rolles in the Ff direction, than shouldn't the ball accelerate ( not decelarate, but go on and on )
 
RingNebula57 said:
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Ff is the friction force that's making the ball roll. If Ff is the only force acting upon the ball in the horizontal direction and the ball rolles in the Ff direction, than shouldn't the ball accelerate ( not decelarate, but go on and on )
Is the ball on a level horizontal surface?
 
SammyS said:
Is the ball on a level horizontal surface?
yes
 
RingNebula57 said:
yes
If the ball is rolling on a level horizontal surface and is continuing to roll at a steady rate then there is no sense in which we can say that friction is "making it roll". If anything, inertia is "making it roll".

The force of friction is zero and the ball has zero acceleration. This is consistent with Newton's second law. F = ma. 0 = 0.
 
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jbriggs444 said:
If the ball is rolling on a level horizontal surface and is continuing to roll at a steady rate then there is no sense in which we can say that friction is "making it roll". If anything, inertia is "making it roll".

The force of friction is zero and the ball has zero acceleration. This is consistent with Newton's second law. F = ma. 0 = 0.
If the force of friction was 0 than why is the ball rolling? Why isn't it just slipping ( like on ice) ?
 
RingNebula57 said:
If the force of friction was 0 than why is the ball rolling? Why isn't it just slipping ( like on ice) ?

If a ball is already rolling and it rolls onto ice (smooth, frictionless surface), then it will continue to roll.

If the ball is rolling on a rough surface it is essentially static friction. The point of the ball that touches the ground is not moving (instantaneously at rest), so the frictional force does no work. Just as it would if the ball was not moving.
 
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RingNebula57 said:
If the force of friction was 0 than why is the ball rolling? Why isn't it just slipping ( like on ice) ?

What PeroK said.

The ball has inertia (eg a moment of inertia).
If it's already rolling when it encounters the ice it will keep rolling (nothing to stop it rolling)
If it's not rolling (eg it's sliding) when it encounters the ice it will keep sliding (nothing to make it start rolling)
 

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