Cylinder supported by two rollers

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Discussion Overview

The discussion revolves around calculating the static reaction force on a cylinder supported by two rollers, particularly focusing on the relationship between the contact angle and the reaction force in relation to the weight of the cylinder. The scope includes theoretical reasoning and conceptual clarification regarding forces and their sources.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant notes that the reaction force is inversely proportional to the cosine of the contact angle and questions the implications of this relationship, particularly when the angle approaches 90 degrees.
  • Another participant points out that certain components of the reaction force oppose each other, prompting a clarification on whether the discussion pertains to homework.
  • A participant expresses confusion about how the non-opposing reaction components can exceed the weight of the cylinder, asserting that it is not a homework question.
  • One comparison is made to a scenario involving a weight hanging from a wire, suggesting a similar mathematical relationship involving cosine.
  • A later reply challenges the notion of forces having a "source," explaining that forces exist independently and can be large even when originating from a small applied force.

Areas of Agreement / Disagreement

Participants express differing views on the nature of forces and their sources, with some questioning the relationship between the reaction forces and the weight of the cylinder. The discussion remains unresolved, with multiple competing perspectives on the topic.

Contextual Notes

There are limitations regarding the assumptions made about the nature of forces and the definitions of terms used in the discussion. The mathematical relationships and their implications are not fully resolved.

dada1
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I'm trying to calculate the static reaction force on cylinder supported by two rollers due to the weight of the cylinder. I found that the reaction force is inversely proportional to the Cosine of the contact angle, but what does it mean? when the contact angle is close to 90 degrees is the reaction force much higher then the weight of the cylinder? if the weight of the cylinder is the source of the reaction forces how can it be lower than the reaction forces?
 

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Hi dada, :welcome: !

Are you aware that certain components of the reaction force oppose each other ?

And: is this homework ?
 
But still -the non opposing reaction components are much higher then their "source" - the weight of the cylinder. I just wonder how can it be (and its not homework..)
 
Compare it with holding up a weight hanging from the middle of a wire by pulling apart the two ends. There's a ##1/\cos## in there too ...
 
dada1 said:
the source of the reaction forces
This is the Trojan Horse in your question. Forces don't have a "source". Energy and Work have sources. Cause and effect follow a logical direction and Energy 'flows'. Forces are merely 'there'. Large forces can turn up when a small force is applied in many circumstances. That's the basis of most tools we use from levers to screw jacks.
 

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