What happens when you have equal force on opposing sides of a 2:1 gear train?

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Discussion Overview

The discussion revolves around the behavior of a 2:1 gear train connected to opposing pistons when equal forces are applied to both sides. Participants explore the implications of this setup in terms of motion and volume changes within a sealed chamber, considering the effects of ambient pressure.

Discussion Character

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

Main Points Raised

  • One participant describes a scenario with equal forces on opposing pistons in a 2:1 gear train and seeks clarification on the direction and distance of piston movement.
  • Another participant suggests that if the forces are equal, the system will accelerate, but notes that additional information is needed regarding the application of forces and dimensions of the components.
  • A participant elaborates on the setup, explaining that the pistons are exposed to ambient pressure and connected to a sealed chamber with the gear train, questioning whether piston 2 will be pushed to the gear train while maintaining the chamber's volume.
  • A participant shares a link to an image of possible designs related to the discussed system.

Areas of Agreement / Disagreement

Participants express differing views on the outcomes of the system's behavior under equal forces, with some uncertainty regarding the specifics of motion and volume changes. The discussion remains unresolved as no consensus is reached on the implications of the setup.

Contextual Notes

Limitations include the lack of specific details about the forces' application, the dimensions of the gears and pistons, and the overall design of the system, which may affect the outcomes discussed.

TaylorTexas
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I have studied how gear trains work for a project I am working on, but can't find an analogous situation where the forces in the gear train oppose each other. Can someone help me?

I have a 2:1 gear ratio on a dual rack and pinion gear train connected to opposing pistons, and there is equal force on both pistons (force = 2). In order to help me understand what will happen, can you tell me in what direction will each piston move and how far?

Force -->|piston1|----------(1:2 gear train)----------|piston2|<-- Force
 
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If the forces are equal at first, the system will accelerate. What happens then requires more information. How are the forces applied? How big are the gears? How big are the crankshafts?
 
The device is in an environment with ambient pressure, so the forces are equal on both pistons. The top of the pistons are exposed to the environment and there is a single sealed chamber connecting the pistons and containing the gear train. The opposing pistons are connected to shafts (pinions) attached to a 2:1 gear train. Both gears are on the same axis (like a minute hand and an hour hand but in opposite directions). One piston pinion is connected to the 1 gear, and the other piston pinion is connected to the 2 gear. No crankshaft.

Normally, when the ambient pressure increase, the volume of the piston chamber would decrease. I would like to use a gear system so that when the ambient pressure increases, the volume of the piston chamber increases as well.

However, I think piston 2 will be pushed all the way to the gear train keeping the same volume in the piston chamber. Am I right? Is there any way to accomplish my goal of increasing the volume?
 
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