$(15\%)$ For the truss and loading shown:

a$.$ Identify ALL zero force members.

b$.$ Using the method of joints, determine the force in members $AB$ and $AH.$

c$.$ Using the method of sections, determine the force in members $GH,CH$ and $BC.$

$2500$

${\displaystyle \underset{F_y}{\overset{?}{}}}=0=2500-1000-F_{AH}sin(30)$

$F_{AH}=30001Cc$

${\displaystyle \underset{x}{\overset{?}{}}}=0=-3000cos(30)+F_{AB}$

$F_{AB}=25981TJ$

$+F_{BC}5$#

$F_{BC}=2598lb,2500lb$

${\displaystyle \underset{?}{\overset{?}{}}}{F}_x=0=-F_{HG}cos(30)+F_{CH}cos(30)-2598$

${\displaystyle \underset{?}{\overset{?}{}}}{F}_y=0=-10001b-\frac{1000}{b}+25001b-F_{HG}sin(30)-F_{HC}sin(30)$

$10$uolb