Tutorial 1.pdf

Tutorial 1

1. Prove that the partial derivatives

,

,

of the scalar function 𝑓 transform into the

rotated coordinate system 𝑥’ 𝑦’ by rules similar to the two dimensional rules associated with Mohr’s Circle 2. A rigid body is subjected to a small rotation 𝜔 = Ω which is much less than 1 about the z axis. If the displacement of the origin is zero, find expressions for the three displacements 𝑢 , 𝑢 , 𝑢 as a function x, y, z.