Homework Statement [/B]
Find an equation for the flow velocity of a river that is parallel to the bottom as a function of the perpendicular distance from the surface. Apply the boundary conditions given and solve, and find the velocity at the surface. Note that the coordinates are: x is the...
Homework Statement
Is the moment of inertia matrix a tensor? Hint: the dyadic product of two vectors transforms according to the rule for second order tensors.
I is the inertia matrix
L is the angular momentum
\omega is the angular velocity
Homework Equations
The transformation rule for a...
1. Problem statement:
Assume that u is a vector and A is a 2nd-order tensor. Derive a transformation rule for a 3rd order tensor Zijk such that the relation ui = ZijkAjk remains valid after a coordinate rotation.Homework Equations :
[/B]
Transformation rule for 3rd order tensors: Z'ijk =...