Conservation of energy in a wheel

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SUMMARY

The discussion centers on the conservation of energy in a rolling wheel, specifically addressing the role of static friction. It is established that static friction does not perform work, thus energy is conserved as long as there is no slipping between the surfaces. The conversation highlights the distinction between static friction and rolling resistance, the latter being a factor due to deformation of the wheel and road, which is often overlooked in basic physics education.

PREREQUISITES
  • Understanding of static friction and its properties
  • Knowledge of work-energy principles in physics
  • Familiarity with rolling motion dynamics
  • Basic concepts of rolling resistance
NEXT STEPS
  • Research the principles of static friction and its implications in mechanics
  • Study the work-energy theorem and its applications
  • Explore the effects of rolling resistance on energy conservation
  • Investigate the differences between static friction and kinetic friction in various scenarios
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in the principles of energy conservation in motion.

paalfis
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Homework Statement


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A wheel rolls without slipping on a plane, what magnitudes are conserved?


The Attempt at a Solution

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I don't know if the static friction force does any work. Energy won't be conserved if it does.
 
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Friction is a force between two surfaces in contact. When a force does work, what equation tells you how much work is done?
 
Linear integral of scalar product between force and the direction of motion. But does THIS force does any work? Because after all, it is static, but its point of action is changing with time, that is my confusion.
 
paalfis said:
Linear integral of scalar product between force and the direction of motion. But does THIS force does any work? Because after all, it is static, but its point of action is changing with time, that is my confusion.
The force is 'trying' to move the surfaces in relation to each other. Does it succeed?
 
No it doesn't. Ok, so energy is conserved. Energy won't be conserved if there is any slipping between the surfaces, correct?
This is not so intuitive to me because I think static force as 'pressure' applied by each body to the other body, somehow using energy to change the molecular state of the other body's structure, why is this wrong?
 
paalfis said:
Energy won't be conserved if there is any slipping between the surfaces, correct?
Correct.
paalfis said:
I think static force as 'pressure' applied by each body to the other body, somehow using energy to change the molecular state of the other body's structure
There is some truth in that. In the case of a rolling wheel, there are losses associated with the deformation of the road and wheel as the load shifts. But this is referred to as rolling resistance, not friction. It is generally ignored in 'school', in the same way that air drag is ignored in most ballistics questions.
 

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