Inclined Plane Physics: Cylinder vs. Superconductor

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Discussion Overview

The discussion revolves around the physics of objects rolling and sliding down an inclined plane, specifically comparing a solid cylinder and a superconductor. Participants explore the effects of gravitational potential energy on both rolling and sliding motion, considering factors such as friction and mass distribution.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose that the gravitational potential energy of a solid cylinder is partially converted into rotational kinetic energy, affecting its speed compared to a sliding object.
  • Others argue that a superconductor, when sliding down an inclined plane with no friction, would outperform a rolling cylinder due to the absence of energy loss to rotation.
  • It is noted that a solid cylinder reaches the bottom of the incline faster than a hollow cylinder with the same mass due to differences in mass distribution and moment of inertia.
  • Participants discuss the necessity of friction for rolling; without it, a cylinder would not roll and would instead slide.
  • There is a suggestion that there exists a coefficient of friction where both the sliding object and the rolling cylinder could reach the bottom simultaneously.

Areas of Agreement / Disagreement

Participants generally agree that friction plays a crucial role in the dynamics of rolling versus sliding. However, there are competing views regarding the fairness of comparisons made under different friction conditions, and the discussion remains unresolved regarding the exact conditions under which each object would win.

Contextual Notes

Limitations include the dependence on friction conditions, the assumptions about mass distribution, and the unresolved nature of the coefficient of friction that would allow both objects to reach the bottom at the same time.

cragar
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Lets say I have an inclined plane and I roll a solid cylinder down it and slide a brick down it.
And let's say I slide the brick down on oil,Or better yet I slide a superconductor down and have It float above bar magnets. The superconductor moving down the plane will always beat the cylinder. We let them go from rest. Is this because some of the Gravitational potential energy goes into rotating the cylinder and not just sliding it down the ramp.
 
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cragar said:
Is this because some of the Gravitational potential energy goes into rotating the cylinder and not just sliding it down the ramp.
Exactly. Whenever something rolls down an incline, some of the potential energy must be used for rotational kinetic energy instead of translational.
 
ok, thanks for your response. And it is easier to rotate something when the mass is distributed near the center of mass.
 
I could be difficult and say that you may not be making a 'fair' comparison here. Under conditions of no friction, the cylinder wouldn't actually start rolling, would it? :biggrin:
 
Right. You won't be able to roll anything without some friction. And if there's friction, something sliding will be slowed as well.
 
If rotational kinetic energy is the lesson to be communicated, I think a good example is the fact that a solid cylinder will reach the bottom of the incline before a hollow cylinder that has the same mass. The hollow cylinder has more of its mass distributed a greater distance from the center, therefore a greater moment of inertia, therefore greater final rotational KE, therefore less final translational KE.
 
sophiecentaur said:
I could be difficult and say that you may not be making a 'fair' comparison here. Under conditions of no friction, the cylinder wouldn't actually start rolling, would it? :biggrin:
Would the cylinder just slide then.
As long as the friction was low enough but not zero the sliding object would win.
Or maybe we should say that, there would be a point where if the friction was low enough the sliding object would beat the rolling object.
 
With no friction there would be no difference. With high friction , only the cylinder would get there. There would, presumably be a value of coefficient for which they will reach the bottom at the same time.
 
ok that makes sense. thanks for your answer.
 

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