What is the Relationship Between Strain and Change in Length in Hooke's Law?

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Homework Help Overview

The discussion revolves around the relationship between strain and change in length as described by Hooke's Law. Participants are exploring the definitions and units associated with strain and change in length, as well as their implications in mechanical contexts.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants are questioning the definitions and units of strain and change in length, with some noting that strain is unitless while change in length is measured in meters. There are attempts to clarify the difference between extensive and intensive properties, and how these concepts relate to the formula for strain.

Discussion Status

The discussion is ongoing, with various interpretations being explored. Some participants have provided guidance on looking up definitions and units in textbooks or online resources. There is an acknowledgment of the importance of understanding these concepts for further learning.

Contextual Notes

Some participants express frustration with the forum's rules against providing direct answers to homework questions, emphasizing a desire for clarity on the topic instead. There is also a mention of the relevance of understanding the unitless nature of strain in educational contexts.

  • #31
It should be noted that Hooke's law relates stress ##\sigma## (i.e., the applied force per area) to strain ##\epsilon## as ##\sigma = E\epsilon##, where ##E## depends on the material. Thus, from force and cross-sectional area, you can know the strain, but not the change in length (for that you also need to know the original length).
 
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  • #32
Orodruin said:
It should be noted that Hooke's law relates stress ##\sigma## (i.e., the applied force per area) to strain ##\epsilon## as ##\sigma = E\epsilon##, where ##E## depends on the material. Thus, from force and cross-sectional area, you can know the strain, but not the change in length (for that you also need to know the original length).

Actually I have the hooke s law in my notes to study , but not easy to understand that part either.
 

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