Question about force from a torque arm extension

  • Context: Undergrad 
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Discussion Overview

The discussion revolves around the mechanics of a Prony brake used in a model hot air engine, specifically focusing on the effect of varying the length of a vertical arm (B) on the reading of a scale connected to a horizontal arm (A) under a stable torque. Participants explore the relationship between torque, lever arms, and force readings in this context.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant questions whether increasing the length of the vertical arm (B) affects the scale reading, suggesting that the effective arm might be the diagonal (C) or simply A.
  • Another participant proposes that if the scale surface is frictionless, the lever arm is simply A, leading to the same reading regardless of B's length.
  • Some participants discuss the role of vector math and Free Body Diagrams (FBDs) in visualizing the forces at play, indicating that varying the length of B changes angles but may not affect the scale reading in a frictionless scenario.
  • Concerns are raised about the relevance of the diagonal distance (C) in calculating the force on the scale, with one participant suggesting that the force is dependent on C and the angle involved.
  • Another participant emphasizes the importance of ensuring that the torque is applied perpendicular to the scale to avoid complications in the reading.
  • Technical details about the setup, including the materials used and the method for taring the scale, are shared, highlighting practical considerations in the measurements.
  • Some participants suggest methods to minimize errors in the scale reading, such as lubricating the scale surface or adjusting the setup to ensure proper alignment.

Areas of Agreement / Disagreement

Participants express differing views on the impact of the vertical arm's length on the scale reading, with some asserting that it does not affect the reading under certain conditions, while others argue that it is relevant and should be considered in calculations. The discussion remains unresolved, with multiple competing perspectives on the mechanics involved.

Contextual Notes

Participants note that the problem may involve complexities such as static friction and the geometry of the setup, which could influence the scale readings. There are also references to the need for mathematical calculations to clarify the relationships between the forces and torques involved.

  • #31
vtsteam said:
Gotta be AI.
Maybe my brain got an update without me knowing it?
 
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  • #32
LOL!
 
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