Parallelogram Law/Examples

Examples of Use of Parallelogram Law

$3$ Weights Suspended from Pulleys

Let $3$ bodies with mass be suspended by cords from pulleys like so:

The bodies will arrange themselves into equilibrium when the vector corresponding to the weight $\mathbf F_3$ of the middle body is equal and opposite the vector corresponding to the vector sum of the weights $\mathbf F_1$ and $\mathbf F_2$ according to the Parallelogram Law.