$2.)$ Given the following shear diagram for a beam on which no couple moments are applied:

a$.)$ Draw the bending moment diagram for the beam, labeling all significant points.

b$.)$ Determine the maximum positive and maximum negative bending moments. Be sure to show your calculations $[$Mmax $=122\mathrm{.}5$kipft and $-150$kipft

c$.)$ Determine the magnitude of the constant distributed load in sections $2$ and $3.[w2=2$ kips $\frac{?}{ft},w3=5$ kips $\frac{?}{ft}$

d$.)$ Determine the shear and bending moment at $x=17ft.[$V$=5$ kips, $M=120$kipft $]$

e$.)$ Write the shear equation for section $3$ of the beam. $[$V$3=(90-5x)$ kips$]$

Section $1$ is $5$ ft long, section $2$ is $10$ ft long, and section $3+4$ is $10$ ft long $($for a total of $25$ feet$).$