Question $9$: In the figure below a boat $($AGB$)$ and trailer $($ADFCE$)$ is hitched to a truck. The trailer is connected to the truck with a pin at $E,$ touches the ground at with a roller at $D,$ and touches the boat with a smooth contact only at A $($Assume that the reaction of the smooth contact at A is completely vertical$).$ Member $BC$ connects the boat to the trailer using pins at both $B$ and $C.$

If the boat has a weight of $3000lb$ with a center of gravity at $G.$ Determine the following:

i$.$ Draw the following free body diagrams.

a$.$ The boat and trailer

b$.$ The trailer alone

c$.$ The boat alone

d$.$ Member BC

ii$.$ Examine boat and determine the reactions at A and $B.$

iii. Examine member $BC$ and determine the reactions at $C.$

iv$.$ Examine the trailer and determine the reactions at $D$ and $E.$

v$.$ Determine the internal reactions at point $F.$