Q$5.$ points$]$ Consider the beam cross$-$section and the direction of moment applied as shown below.

$($a$)$ Locate the neutral axis of the beam cross$-$section $(y-$coordinate from the bottom of the section$)$

$($b$)$ What is the area moment of inertia of the cross$-$section with respect to the neutral axis?

$($c$)$ If the beam is made of material having an allowable $($tensile or compressive$)$ stress values of ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=150$ MPa $,$ determine the maximum moment M that can be applied to the beam.

Higure US