Torque Help: Solving a Stepladder Tension Problem | Quick and Easy Guide

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Discussion Overview

The discussion revolves around a problem involving a stepladder and the calculation of tension in a crossbar, with considerations of geometry, forces, and support conditions. The context includes aspects of static equilibrium and the effects of frictionless surfaces.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks guidance on determining the tension in the crossbar of a stepladder, noting that the ladder's weight is negligible and the surface is frictionless.
  • Another participant requests clarification on the geometric setup and how the weight of the person is modeled, questioning whether it acts as a point force on the crossbar.
  • A different participant suggests that the determination of tension depends on the flexing of the crossbar and emphasizes the need to understand how the crossbar is mounted to the ladder.
  • One participant argues that if the crossbar has a frictionless connection to the ladder, there would be no tension, as the system would simply flex without generating a tensioning force.

Areas of Agreement / Disagreement

Participants express differing views on the conditions under which tension can be calculated, with some suggesting that the mounting and flexing of the crossbar are critical factors, while others propose scenarios where tension may not exist at all. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Limitations include the lack of specific details regarding the geometric configuration and the assumptions about the connections and flexing of the crossbar, which are crucial for a complete analysis.

thennigar
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first post... see how it goes.

I need some help with a step ladder question. Wont bother giving the question i just need help on how to go about it.

Stepladder of negligible weight, person standing at a point on the ladder. Need to know how to go about finding tension on a crossbar. all the dimensions are givin. And the surface is frictionless.

Thanks
 
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You should clarify a bit more the geometrics. How are you modelling the person weight?. Is it a puntual force over the crossbar?. How the stepladder is supported?
 
To determine tension on the cross bar you need to know how much it flexes. If the cross bar isn't mounted by bearings to the ladder as is done so often to simplify the study of statics, it's gets really complicated. You'd need to know how the cross bar is mounted, and how much the connection area flexes.
 
If the cross bar has a frictionless connection to the ladder there's no tension at all (as there's nothing to provide a tensioning force at the connections). For example, hang a weight on a broom stick with the broom stick resting on two frictionless supports. There's no net tension because the broom stick simply flexes, creating internal tensions and compressions.
 

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