# Continuum mechanics/Kinematics Test

Jump to navigation Jump to search

1. ${\displaystyle \{\xi ^{1},\xi ^{2},\xi ^{3}\}}$ — Lagrangian coordinates, ${\displaystyle \{x,y,z\}}$ — Eulerian coordinates.

Law of medium motion is given:

${\displaystyle x=\xi ^{1}+(\xi ^{1}+\xi ^{2})\ln(1+t)}$
${\displaystyle y=\xi ^{2}+(\xi ^{1}-\xi ^{2})\ln(1+t)}$
${\displaystyle z=\xi ^{3}+(\xi ^{1}+\xi ^{2})\ln(1+t)}$

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