To determine the rigidity modulus of a suspension wire.

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SUMMARY

The discussion centers on determining the rigidity modulus of a suspension wire, specifically addressing the relationship between Young's modulus and rigidity modulus. The user seeks clarification on whether these two moduli are equivalent and how to accurately measure the wire's length for calculations. Key methods include calculating tension and using a screw gauge to measure the wire's radius and cross-sectional area. The user references the shear modulus as a relevant concept in understanding rigidity.

PREREQUISITES
  • Understanding of Young's modulus and its formula (Y = stress/strain).
  • Familiarity with the concept of rigidity modulus and shear modulus.
  • Ability to measure physical dimensions using a screw gauge.
  • Knowledge of basic mechanics, including tension in wires.
NEXT STEPS
  • Research the differences between Young's modulus and rigidity modulus.
  • Learn how to calculate tension in a wire under load.
  • Study the application of shear modulus in material science.
  • Explore experimental methods for measuring wire dimensions and properties.
USEFUL FOR

Students in physics or engineering, particularly those studying material properties and mechanics, as well as educators looking for teaching resources on elasticity and modulus concepts.

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Homework Statement


A suspension wire is given and the problem is to find out it's rigidity modulus. Say the wire is of length 'l' and a mass 'm' is suspended with the help of the wire.


Homework Equations


All i know is Young's modulus or 'Y' is Y=stress\strain


The Attempt at a Solution


My first doubt is:- is Young's modulus the same as rigidity modulus. And the second problem i can find out the tension in the wire as well as it's length. But which length is to be taken? The changed length? Or the initial length? With a screw gauge i may be able to determine the radius of the wire and consequently the cross sectional area. I just need some step by step procedures and theory on how to find out this thing.
 
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