CPM Homework Help : PC3 Problem 7-93

Three forces act on an object of negligible mass. The forces have magnitudes and directions as follows:

$\text{F}_1$ : $23 \text{ N}$ , $θ=16^\circ$

$\text{F}_2$ : $100\text{ N}$ $θ=-85^\circ$

$\text{F}_{31}$ : $88 \text{ N}$ , $θ=110^\circ$

What are the magnitude and direction of the resultant force?

Step 1:

$\text{F}1=⟨23\cos(16^\circ),23\sin(16^\circ)⟩\\ \text{F}2=⟨100\underline{\quad}(-85^\circ),100\sin(\underline{\quad})⟩\\ \text{F}3=⟨\underline{\qquad},\underline{\qquad}⟩$

Step 2:

$\text{resultant force}=\text{F}_{^1}+\text{F}_2+\text{F}_3$