Friction Direction on Rolling Ball: Am I Missing Something?

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Discussion Overview

The discussion revolves around the direction of friction acting on a ball that transitions from skidding to rolling on a flat surface. Participants explore the implications of friction on both translational and angular motion, considering how these forces affect the ball's eventual halt.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant questions the direction of friction, suggesting that if it acts to the right, translational speed increases, which seems incorrect, while if it acts to the left, angular speed increases, which also appears incorrect.
  • Another participant proposes that if the ball is thrown to the right and skids, friction must act to the left, slowing the translation and increasing angular speed in a clockwise direction.
  • A participant raises a concern about how the ball can reach static equilibrium if angular speed is increasing.
  • Another participant compares the situation to a bowling ball rolling down an alley, suggesting that equilibrium is achieved with a certain angular velocity and a reduced translational velocity due to energy loss from friction.
  • One participant expresses confusion about how the ball stops if angular momentum is increasing, questioning when this increase ceases.
  • Another participant mentions that rolling resistance and air resistance contribute to the ball's eventual stop, noting that different surfaces affect the duration of the roll.

Areas of Agreement / Disagreement

Participants express differing views on the effects of friction on the ball's motion, with no consensus reached regarding the direction of friction and its implications for the ball's stopping mechanism.

Contextual Notes

Participants reference concepts such as static equilibrium, angular momentum, and rolling resistance, but the discussion does not resolve the complexities of these interactions or the assumptions underlying them.

Rmehtany
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My question is the following. A ball is initially skidding and eventually starts rolling on a flat plane with friction, and later comes to a halt. Which direction does friction act? (see diagram)

If friction acts to the right, then the translational speed will go up, and that's not right.

If friction acts to the left, then the angular speed goes up, and that's not right as well.

Am I missing something? It seems too simple and I feel like a fool to have to ask this.
 

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Rmehtany said:
My question is the following. A ball is initially skidding and eventually starts rolling on a flat plane with friction, and later comes to a halt. Which direction does friction act? (see diagram)

If friction acts to the right, then the translational speed will go up, and that's not right.

If friction acts to the left, then the angular speed goes up, and that's not right as well.

Am I missing something? It seems too simple and I feel like a fool to have to ask this.

If the ball is thrown to the right, and skids and then slowly starts to spin up, it is because the friction is acting to the left on the bottom of the ball. That slows the translation to the right, and spins up the angular speed of the ball in the clockwise direction.
 
But then if the angular speed is going up, how can the ball reach static equilibrium
 
Rmehtany said:
But then if the angular speed is going up, how can the ball reach static equilibrium

Just like at a bowling alley -- the equilibrium is the ball rolling down the alley floor with some angular velocity and with a translational velocity that is less than it had when first thrown. Losses due to friction is one reason the linear velocity is slower, but there is also the energy that is transferred into the angular momentum of the ball as it spins up. Are you familiar with the Moment of Inertia (MOI) concept yet?
 
Yea, I am... Ah, I see, but I still have a problem, if the angular momentum is increasing, how does the ball stop? Does it stop decreasing, and when? I understand that angular momentum increases in the beginning
 
It is mainly rolling resistance (and air resistance) that will slowly bring the ball to a stop. If it's rolling on carpet, then the rolling resistance is high, so it stops sooner. If the rolling resistance is low (like on hardwood flooring), then the ball is going to roll a *long* way...:smile:
 
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