Why is the motion of a piston considered to be simple harmonic motion?

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Discussion Overview

The discussion revolves around the characterization of a piston’s motion as simple harmonic motion (SHM). Participants explore the conditions under which a piston might exhibit SHM, considering factors such as mass and the specifics of the system in which the piston operates.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the classification of piston motion as SHM, noting the mass of the piston and connecting rod.
  • Another participant challenges the relevance of mass to the classification of motion as SHM.
  • A different viewpoint suggests that with an infinitely long connecting rod, the acceleration and velocity of the piston and crank pin would be comparable, implying a relationship to SHM.
  • It is proposed that a piston can exhibit various types of motion, prompting a question about whether the discussion pertains to a specific application of piston motion.
  • One participant asserts that SHM applies to small vibrations in an isolated system and that mass influences the time period but does not preclude SHM, suggesting that a piston can undergo SHM.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of mass to SHM and whether the motion of a piston can be classified as SHM under various conditions. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Participants do not reach consensus on the definitions or conditions necessary for a piston to be considered in simple harmonic motion, and assumptions about the system's isolation and damping forces are not fully explored.

SonicBoomxxx
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I know this is simple, but I don't fully understand why the motion of a piston is considered to be simple harmonic? Wouldn't the piston and connecting rod have mass?
 
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With an infinitely long connecting rod, you would have comparable acceleration and velocity values for the piston and crank pin.
 
A piston can have any motion you want. Are you talking about some very specific application of a piston?
 
Simple harmonic motion is for small vibrations in an isolated system(free from damping forces). If you have a pendulum of mass 20g it can also undergo shm. Mass just affects it's time period. A piston can also undergo shm.
 

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