HW$07$

#$1$ Beam

Problem Statement:

Two forces act on a massless beam as shown.

$F_1=10lb$ is acting at an angle

proportional to a $3$:$4$:$5$ triangle at point

D$.$

$F_2=7lb$ is acting vertically at point A $.$

Part $1$:

List $4$ different methods $($from our class notes$)$ that you could use to solve for the resultant

moments of a given point on this body.

scalar

cross product

Verignons theorem

equivalent force$-$couple system

Part $2$:

Find the following $(6$ answers total$)$: Ans: $M_A=72$ in lb hat$(k),M_C=-124$ in lb hat$(k)$

$($A$)$ The resultant moment vector $($in units of in$-$lbs$)$ about point A from both forces using

three of the methods above.

$($B$)$ The resultant moment vector $($in units of in$-$lbs$)$ about point C from both forces using

three of the methods above.