Maximum $10$ points$)$ The cantilever beam $AB$ shown in figure $2$ has a length $2L.$ The joint $A$ is fixed

joint. The beam is subjected to an external moment $M_0$ at a distance of $L$ from the end $A.$ The beam

is also subjected to a concentrated force $P$ at its free end. Assuming $EI$ to be constant throughout

the beam, answer the following

$($a$)(5$ points$)$ What is the slope at the mid$-$span of the beam.

$($b$)(5$ point$)$ What is the deflection at the free end $B.$

Figure $2$: Structure for Question $3.$