1. The body shown in the figure below is fixed at $x = L$ and is subjected to unknown body forces
and surface tractions not shown in the figure. The displacement field in this body is given by
\begin{align*}
u &= \frac{k}{2}(x - L)^2, \\
v &= kx(L - x), \\
w &= -kz(x - L)
\end{align*}
where
$$k = c \frac{(1 + \nu)(1 - 2\nu)}{E}$$
$E$ is the Young's modulus, $\nu$ is the Poisson's ratio, and $c$ is a constant.
(a) Find the distribution of the body force acting on this body.
(b) Find the surface traction at every surface of this body.