$1\mathrm{.}1$: Choose the correct equilibrium equation ${\displaystyle \underset{?}{\overset{?}{}}}{F}_y=0(3$ points$)$: Consider the pipe shown below supported by three journal bearings, which are perfectly aligned. Draw

the free body diagram using the figure at right $(3$ points$).$

$1\mathrm{.}4$: Identify the zero$-$force members. Mark all that apply $(3$ points$).$

@$AE$

@ DE

BD

BE

CD

BC

AB

$1\mathrm{.}5$: For the beam shown below, select the best description for the shear diagram $(3$ points$).$

a$)$ Linear curve with zero starting value

b$)$ Linear curve with nonzero starting value

c$)$ Quadratic curve with zero starting value

d$)$ Quadratic curve with nonzero starting value

e$)$ Cubic curve with zero starting value

f$)$ Cubic curve with nonzero starting value

a$)-$Fcos$60-\frac{3}{5}P+200sin105=0$

b$)-$Fsin$60+\frac{4}{5}P+200cos105=0$

c$)-$Fsin$60+\frac{3}{5}P+200sin105=0$

d$)-$Fcos$60-\frac{9}{25}P+200sin105=0$

e$)-$Fsin$60-\frac{3}{5}P+200sin105=0$

$1\mathrm{.}2$: Select the correct determinant needed to find the moment about the $a-$a axis $(3$ points$)$:

Given: $a.(bc)=|[a_1,a_2,a_3],[b_1,b_2,b_3],[c_1,c_2,c_3]|.$

a$)|[-\frac{1}{\sqrt[\phantom{2}]{2}},0,\frac{1}{\sqrt[\phantom{2}]{2}}],[3,4,-2],[2,-4,3]|kN*m$

b$)|[-2,2,0],[3,4,-2],[2,-4,3]|kN*m$

c$)|[-\frac{1}{\sqrt[\phantom{2}]{2}},\frac{1}{\sqrt[\phantom{2}]{2}},0],[2,-4,3],[3,4,-2]|kN*m$

d$)|[\frac{1}{\sqrt[\phantom{2}]{2}},-\frac{1}{\sqrt[\phantom{2}]{2}},0],[3,4,-2],[2,-4,3]|kN*m$

e$)|[-\frac{1}{\sqrt[\phantom{2}]{2}},\frac{1}{\sqrt[\phantom{2}]{2}},0],[3,4,-2],[2,-4,3]|kN*m$