View source for Continuum mechanics/Kinematics Test

1. <math>\{\xi^1, \xi^2, \xi^3\}</math> — Lagrangian coordinates, <math>\{x, y, z\}</math> — Eulerian coordinates.

Law of medium motion is given:

<math>x = \xi^1 + (\xi^1 + \xi^2)\ln(1 + t)</math>
<br>
<math>y = \xi^2 + (\xi^1 - \xi^2)\ln(1 + t)</math>
<br>
<math>z = \xi^3 + (\xi^1 + \xi^2)\ln(1 + t)</math>
<br>

Find components of velocity and acceleration as functions of Lagrangian and Eulerian variables.

[[Category:Continuum mechanics|Kinematics Test]]