What is the reaction of a hinged beam with a mass and light cable?

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Discussion Overview

The discussion revolves around the analysis of a hinged beam supporting a mass, specifically focusing on the reactions at the hinge and the behavior of a cable under load. The context includes theoretical and practical aspects of statics and material properties, particularly Young's Modulus.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant describes a beam with a mass of 70kg at one end, hinged to a wall, and supported by a cable at an angle of 30 degrees to the vertical.
  • Another participant suggests summing the moments about the hinge point A to analyze the system.
  • A further reply explains that finding the force in the cable and applying Hooke's Law may be necessary to determine Young's Modulus.
  • A participant expresses confusion about the terminology and concepts, indicating a lack of prior instruction on the relevant methods.
  • One participant recommends reviewing statics tutorials for additional guidance.

Areas of Agreement / Disagreement

Participants generally agree on the need to analyze moments and forces in the system, but there is a lack of consensus on the specific methods and terminology, particularly for those less familiar with the concepts.

Contextual Notes

Some participants express uncertainty about the equations and methods required for the analysis, highlighting a potential gap in foundational knowledge that may affect their ability to engage with the problem effectively.

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1. A Beam of negligible weight AB, carrying a mass of 70kg at its end B, is hinged to a vertical wall at A and held at B 30degrees to the vertical wall by a light cable BC of 5mm diameter, C is at a distance vertically above A

Find the reaction of the beam at the wall and predict the behaviour of the cable by determining its Young;s Modulus if it is not allowed to extend more than 0.1% of its length under any condition





2. Stuck on what equations i need to use for the above



3. I drew the diagram in question and that's as far as i got =/

http://img201.imageshack.us/img201/1646/problemib2.jpg
 
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Did you try to sum the moments about A?
 
FredGarvin said:
Did you try to sum the moments about A?

Sorry, i don't have any idea what you're talking about =/
 
Fred is talking about taking moment or torque about A, the second condition of static equilibrium.

I would imagine you have to find the force along the cable and then use Hooke's Law in order to calculate the Young's Modulus or Modulus of elasticity.
 
I still havn't been able to get my head round it.

Thing is, i havn't been taught how to do it, therefore i don't understand the terms you are using.

I need maybe a worked example of something similar that i can understand the formula to use and the method of working it out.

Thanks,

Joel
 
Go through the statics tutorials.

http://web.umr.edu/~bestmech/
 
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