Preloading Pulleys: Understanding the Effects of Tension on Angular Velocity

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Discussion Overview

The discussion revolves around the effects of tension on angular velocity in a pulley system, specifically focusing on scenarios involving preloading with tension and the implications of different configurations of pulleys or spools. Participants explore the mechanics involved in these systems, including the forces and torques at play.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether pulling on opposite ends of a pulley with tensions T1 and T2 is equivalent to preloading the pulley with tension T2, seeking to understand the impact on angular velocity.
  • Another participant argues that the scenarios presented resemble spools rather than traditional pulleys and states that they are not in equilibrium, suggesting that preloading is not applicable to free-floating systems.
  • A participant acknowledges the description of the systems as spools and clarifies that they are fixed in space but free to rotate, indicating that additional forces may be missing from the analysis.
  • There is a discussion about the net force and tension calculations, with one participant asserting that the tension on T1 can be expressed as T1-T2 in one configuration, while questioning how this changes in another setup.

Areas of Agreement / Disagreement

Participants express differing views on the nature of the systems being discussed, with some agreeing on the need for clarification regarding the configuration of the pulleys/spools, while others maintain that the scenarios are fundamentally different. The discussion remains unresolved regarding the equivalence of the scenarios and the implications for angular velocity.

Contextual Notes

Participants note that the systems may not be in equilibrium and that additional forces may need to be considered, but these aspects remain unresolved. The definitions of the components involved and their configurations are also points of contention.

PaulB
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I am making a system Where I am pulling on opposite ends of a pulley with Tensions T1 and T2. Is this equivalent to preloading the pulley with tension T2? If I preload the pulley with T2 on a separate rope, how will the angular velocity change when I apply T1? I've drawn a quick diagram

pulley_pic.png
 
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Neither of these scenarios look much like a "pulley" to me - they look like spools. Neither are stable/in equilibrium. Are they free-floating in space? I don't see how you can "pre-load" something that isn't fixed. Anyway, no, the two scenarios are not equivalent: the torques applied to the spool are different.
 
russ_watters said:
Neither of these scenarios look much like a "pulley" to me - they look like spools. Neither are stable/in equilibrium. Are they free-floating in space? I don't see how you can "pre-load" something that isn't fixed. Anyway, no, the two scenarios are not equivalent: the torques applied to the spool are different.
Hi Russ, you are correct. These are better described as spools fixed in space, but free to rotate around the point at the center of the circle. Let's say that they are bearings, sitting on shaft. In the left picture, the tension on T1 will simply be T1-T2. What will the tension on T1 be in the picture on the right.
 
PaulB said:
Hi Russ, you are correct. These are better described as spools fixed in space, but free to rotate around the point at the center of the circle. Let's say that they are bearings, sitting on shaft.
In that case, there's an additional force missing from the pictures, one that acts at the center and opposes the net force of the applied T1 and T2.

PaulB said:
In the left picture, the tension on T1 will simply be T1-T2. What will the tension on T1 be in the picture on the right.
I think you tripped over your wording there. I think you mean to ask about the force on the center bearing? T1 and T2 are applied forces, right? The force applied by the bearing is T1-T2, yes. For the second one, it's the same as long as T2 is somehow applied to the spool and not the fixt point directly. Otherwise T2 isn't really doing anything.
 

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