# Can someone explain how do find the components of vecD?

## Given: $\vec{A}$ Mass$= 30 g$ Direction$= 10$ degrees $\vec{B}$ Mass$= 20 g$ Direction$= 150$ degrees $\vec{C}$ Mass$= 35 g$ Direction$= 225$ degrees Solve: $\vec{A} + \vec{B} + \vec{C} + \vec{D} = 0$

Mar 12, 2018

See below

#### Explanation:

Basically this is a closed loop vector. A 4 sided irregular polygon. Think of each side as lengths, where 30g =3 inches ( just arbitrary dimensions)

See image below:

Easiest way to resolve is by evaluationg the vertical and horizontal components for each vector and adding them up. I leave the math to you.

Vector A vertical: $3 \sin 10$
Vector B vertical : $2 \sin 30$
Vector C vertical : $3.5 \sin 225$

Vector A horizontal: $3 \cos 10$
Vector B horizontal: $2 \cos 30$
Vector C horizontal: $3.5 \cos 225$

So Vector D vertical component is =Sum of all vertical values

So Vector D horizontal component is =Sum of all horizontal values

You can now evaluate Vector D magnitude and angle.

As I said above, leaving the math to you.