Maxwell's wheel and the conservation of energy

In summary, the Maxwell's wheel stops because of friction. There are various factors that contribute to this friction, including the properties of the object, the surface the object is rolling on, and the mechanics of the apparatus. Using a spring scale would not be of much use in determining how much energy is being lost.
  • #1
archaic
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We experimented with the Maxwell's wheel today and at the end we were asked about why does this apparatus stop since there is conservation of energy.
I did some research and apparently there is a type of friction called "rolling friction", wikipedia defines it as "the force resisting the motion when a body (such as a ball, tire, or wheel) rolls on a surface."
So is, in this case, the rope considered as the surface?
 
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  • #2
archaic said:
We experimented with the Maxwell's wheel today and at the end we were asked about why does this apparatus stop since there is conservation of energy.
I did some research and apparently there is a type of friction called "rolling friction", wikipedia defines it as "the force resisting the motion when a body (such as a ball, tire, or wheel) rolls on a surface."
So is, in this case, the rope considered as the surface?
What properties of a tire and road surface contribute to rolling resistance? And what properties of the wheel axle and string contribute to any spinning resistance in the Maxwell's Wheel experiment?

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  • #3
berkeman said:
What properties of a tire and road surface contribute to rolling resistance? And what properties of the wheel axle and string contribute to any spinning resistance in the Maxwell's Wheel experiment?

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After some research, the resistance is due to either a deformation in the object, the surface or both.
I guess it's the same for the axle and the strings, either one of them or both aren't totally rigid which causes some kind of "braking" each time until all movement stops.
 
  • #4
Yeah, in the case of Maxwell's Wheel, the axle is pretty hard metal, so it won't deform. But how much energy does it take to keep wrapping and unwrapping the string around that rigid axle? :smile:
 
  • #5
You should also consider other causes of energy loss.
 
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  • #6
Suppose the strings were attached to spring scales instead of fixed supports.
What would you expect to happen to the scale readings during a cycle?
 
  • #7
Apparently the loss of energy is due to the non perfect elasticity of the strings
 
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  • #8
I'd be surprised if there was only one way energy was lost.
 
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  • #9
archaic said:
Apparently the loss of energy is due to the non perfect elasticity of the strings
In my earlier post I implied that use of a spring scales would show discontinuities in the motion.
Kinematics seems to indicate that this is not the case and a scales would be
of little or no use.
As indicated in post #8 other factors must be at work here such as
(work in bending the cords, friction, etc.).
I haven't had the opportunity to observe that apparatus and don't
happen to have a yo-yo.
 

1. What is Maxwell's wheel?

Maxwell's wheel is an apparatus used to demonstrate the principles of conservation of energy and angular momentum. It consists of a wheel with a handle attached to its axle, which can be wound up to spin the wheel.

2. How does Maxwell's wheel demonstrate conservation of energy?

When the wheel is initially spun, it has kinetic energy due to its motion. As the wheel continues to spin, the kinetic energy is gradually converted into potential energy as the wheel reaches its highest point, where it has no motion but has the most potential energy. As the wheel falls back down, the potential energy is converted back into kinetic energy, demonstrating the conservation of energy.

3. Can you explain the concept of angular momentum in relation to Maxwell's wheel?

Angular momentum is a measure of the rotational motion of an object. In Maxwell's wheel, as the handle is wound up, the wheel gains angular momentum. This angular momentum is conserved as the wheel continues to spin, even as the energy is converted between kinetic and potential energy.

4. What happens if friction is present in Maxwell's wheel?

If there is friction present in the wheel, then some of the energy will be lost to heat and sound rather than being conserved. This can be seen in the wheel's motion, as it will gradually slow down and come to a stop. The amount of friction present will affect how quickly the wheel loses its energy.

5. How is the conservation of energy important in everyday life?

The conservation of energy is a fundamental principle in physics that applies to all systems, including those in everyday life. It explains how energy can be transferred and transformed, but cannot be created or destroyed. This principle is crucial in understanding how various machines and devices work, and it also has practical applications in fields such as engineering and environmental science.

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