The Role of Inertia in Friction and Acceleration

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SUMMARY

The discussion centers on the role of inertia and friction in the motion of a rolling ball. It establishes that when a ball rolls without slipping on a level horizontal surface, the frictional force does not contribute to acceleration; rather, inertia maintains its motion. The conversation clarifies that if the ball is rolling at a constant velocity, the net force and acceleration are both zero, aligning with Newton's second law (F = ma). The participants emphasize that friction does not "make" the ball roll; instead, it is the ball's inertia that sustains its motion.

PREREQUISITES
  • Understanding of Newton's laws of motion, particularly F = ma.
  • Knowledge of static and kinetic friction concepts.
  • Familiarity with the concept of inertia and moment of inertia.
  • Basic principles of rolling motion and slipping.
NEXT STEPS
  • Explore the implications of Newton's first law of motion on rolling objects.
  • Investigate the differences between static friction and kinetic friction in various scenarios.
  • Learn about the moment of inertia and its effects on rotational motion.
  • Examine real-world applications of rolling motion in physics, such as in vehicles and machinery.
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of motion, particularly in relation to inertia and friction in rolling objects.

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:
[ ATTACH=full]85132[/ATTACH]
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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