Savchenko Problem 3.6.22

Physics · mechanics · electromagnetism

Problem

a. An area of longitudinal deformation ε\varepsilon moves along the rod with velocity c to the right. The cross-sectional area of the rod is S, the material density ρ\rho. What is the rate of change of momentum of the particles of the rod in the area to the right of the selected section? b. The momentum carried per unit time through a unit of cross-sectional area is called the momentum flux density. Why should the momentum flux density be equal to the normal stress σ\sigma in that section? Expressing σ\sigma through strain, define c hence through ε\varepsilon and ρ\rho.

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