The Role of Inertia in Friction and Acceleration

In summary, when a ball is rolling on a level horizontal surface, the force of friction is zero and the ball has zero acceleration. This is consistent with Newton's second law, as the ball has inertia and will continue rolling unless acted upon by an external force. However, if the ball encounters a smooth, frictionless surface, or is not already rolling, it will not continue rolling due to the lack of frictional force.
  • #1
RingNebula57
56
2
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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  • #2
It is accelerating, its just that the acceleration is negative and opposes motion (commonly known as deceleration).
 
  • #3
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?
 
  • #4
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 )
 
  • #5
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?
 
  • #6
SammyS said:
Is the ball on a level horizontal surface?
yes
 
  • #7
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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  • #8
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) ?
 
  • #9
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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  • #10
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)
 

FAQ: The Role of Inertia in Friction and Acceleration

What is friction?

Friction is a force that opposes motion between two surfaces that are in contact with each other. It is caused by the microscopic irregularities on the surfaces, which create resistance when they rub against each other.

How does friction affect acceleration?

Friction can either increase or decrease acceleration, depending on the direction in which it acts. If it acts in the opposite direction of motion, it can decrease acceleration. If it acts in the same direction as motion, it can increase acceleration.

What factors affect the amount of friction between two surfaces?

The amount of friction between two surfaces is affected by the type of surfaces, the force pushing them together, and the roughness of the surfaces. Additionally, the presence of any lubricants can also affect the amount of friction.

How does the coefficient of friction impact the force of friction?

The coefficient of friction is a measure of the roughness of a surface and the amount of force required to move an object across the surface. The higher the coefficient of friction, the greater the force of friction will be.

What are some real-life examples of friction and its effects on acceleration?

Examples of friction and its effects on acceleration include a car's brakes causing friction with the road to slow down the car, the grip of a basketball player's shoes on the court to increase acceleration, and the friction between a pencil and paper when writing to create resistance and slow down the writing process.

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