Is uniform circular motion perpetual?

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Discussion Overview

The discussion revolves around the concept of uniform circular motion, particularly whether an object, such as a pencil, spun in a vacuum would continue to spin indefinitely. Participants explore the implications of centripetal acceleration, the role of forces, and the conservation of angular momentum in the absence of external influences.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants suggest that in a vacuum, a pencil spun initially would continue to spin indefinitely due to the absence of friction and external forces acting on it.
  • Others argue that while the pencil experiences centripetal acceleration, the energy required to maintain its motion was imparted at the moment of spinning, and no additional energy is needed to keep it spinning.
  • There is a discussion about the nature of forces, with some participants clarifying that centripetal force does not do work on the object since it is perpendicular to the motion.
  • Some participants emphasize the importance of angular momentum, stating that it is conserved in the absence of external torque, which would allow the pencil to maintain its rotation.
  • Concerns are raised about the necessity of a constant force for circular motion, with clarifications that internal forces within the pencil maintain its shape and motion without doing work.
  • A participant introduces the idea that if the pencil were to be near a massive body, gravity could provide the necessary centripetal force for circular motion.
  • One participant expresses appreciation for the insights gained from the discussion, indicating that the dynamics of circular motion with a stationary center of mass were previously unconsidered.

Areas of Agreement / Disagreement

Participants generally agree that in a vacuum, a pencil spun initially would continue to spin without external forces acting on it. However, there are competing views regarding the necessity of forces for maintaining circular motion and the implications of angular momentum, indicating that the discussion remains unresolved on these points.

Contextual Notes

The discussion includes various assumptions about the nature of forces, energy, and motion, particularly regarding the definitions of circular motion and the role of internal versus external forces. There are also references to Newton's laws and the concept of angular momentum, which may require further clarification for complete understanding.

  • #31
sophiecentaur said:
Whatever forces are acting, no energy is 'consumed' or transferred if there is no movement in the direction of those forces (i.e. the string / pencil gets no longer or shorter). Work done is Force times Distance moved in the direction of the force.

The distance covered is circular, so isn't there even some component of distance being covered in the direction of the centripetal force?
 
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  • #32
ViolentCorpse said:
The distance covered is circular, so isn't there even some component of distance being covered in the direction of the centripetal force?

No. The Centripetal force is constantly at right angles to the direction of motion.
 
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  • #33
@violent corpse: sketch out the vectors and see.
 
  • #34
I understand. Thank you gentlemen!
 

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