Young's modulus and compression

In summary, the figure shows a rod placed between A and B shims with an applied force at R. The problem can be solved by considering the constant elasticity of the shims, but the discussion is about another topic. The statement F + Fb = Fa is immediately wrong and can lead to incorrect answers. There is a possibility that the center of mass is not at zero net force, causing linear acceleration. It is unclear at what point the net force will be zero or if the rod will break at some point. There is also a force at "fixo" that is taken into account.
  • #1
LCSphysicist
645
161
Homework Statement
All below
Relevant Equations
All below
See this figure:
1594196274703.png


The rod is put at first between A and B shims without comprehension, suddenly a force is applied at R from an axis as the figure points. Find Fa and Fb. (the figure is a look from above)

This can be solved by consider the "constant elastic" of the shims equal, but my discussion is another.

The immediately wrong affirmation that F + Fb = Fa, if we try to apply this, it will lead us to wrong answers.
I am trying to analyse the consequences of this, this implies that immediately the center of mass is not at zero net force, so it has linear acceleration (it could be found, if we knew the mass), but this is a little tricky, that is, at what stage the forces net force will be zero? Or is this, or the rod will broken some time later the figure.
 
Physics news on Phys.org
  • #2
LCSphysicist said:
affirmation that F + Fb = Fa
Surely there is a force at "fixo"
 

1. What is Young's modulus?

Young's modulus, also known as the modulus of elasticity, is a measure of the stiffness of a material. It is defined as the ratio of stress to strain in a material under elastic deformation.

2. How is Young's modulus calculated?

You can calculate Young's modulus by dividing the stress applied to a material by the strain it experiences. This can be represented by the equation E = σ/ε, where E is Young's modulus, σ is stress, and ε is strain.

3. What is the relationship between Young's modulus and compression?

Young's modulus is a measure of a material's resistance to deformation under compression. A higher Young's modulus indicates a stiffer material that is less likely to compress under applied stress.

4. How does temperature affect Young's modulus?

Generally, an increase in temperature leads to a decrease in Young's modulus. This is due to the increased thermal energy causing the atoms in a material to vibrate more, making it easier for them to move and deform under stress.

5. What are some practical applications of Young's modulus and compression?

Young's modulus and compression are important factors to consider in engineering and material design. They can help determine the strength and durability of a material, as well as its ability to withstand compression forces in structures such as bridges, buildings, and vehicles.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
449
  • Introductory Physics Homework Help
Replies
14
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
14
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
15K
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
8
Views
8K
Back
Top