Analysis of a deformable body and Newton's 3rd Law

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SUMMARY

This discussion centers on the application of Newton's 3rd Law in the context of deformable bodies, specifically referencing "Sommerfeld's Lectures on Theoretical Physics, Vol 2, Mechanics of Deformable Bodies." Participants explore how deformation affects the forces experienced by surfaces in contact, particularly the positive and negative x-surfaces of a solid cube. The conversation emphasizes that the forces acting on these surfaces must be equal and opposite, as supported by A.P. French's assertion that reaction forces involve deformation. The analysis also touches on free body diagrams and the balance of internal stresses in response to external forces.

PREREQUISITES
  • Understanding of Newton's 3rd Law of Motion
  • Familiarity with concepts of static equilibrium
  • Basic knowledge of free body diagrams
  • Introduction to continuum mechanics and traction forces
NEXT STEPS
  • Study the principles of static equilibrium in deformable bodies
  • Learn about free body diagrams and their applications in mechanics
  • Explore the concept of traction forces in continuum mechanics
  • Investigate Hook's Law and its relevance to material deformation
USEFUL FOR

Students of physics, mechanical engineers, and anyone interested in the mechanics of deformable bodies and the application of Newton's laws in real-world scenarios.

  • #31
Paul Colby said:
The part where the forces on my bottom vanish, apparently.
The vertical surface doesn’t have a bottom?
 
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  • #32
Chestermiller said:
The vertical surface doesn’t have a bottom?
Who said I was slouching?
 

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