Solving Problems Involving Resultant and Component Forces

How do we solve problems involving resultant and component forces?

In this post, we are solving problems or make quantitative predictions involving resultant and component forces, as a part of the Prelim Physics course under the module Dynamics and sub-part Forces. To solve problems involving resultant and component forces, we apply the following relationships:

$\vec{F}_{AB} = -\vec{F}_{BA}$
$F_{x} = Fcos(\theta), F_{y} = Fsin(\theta)$

The following two videos cover a step-by-step approach in solving problems that involve resultant and component forces. The first video covers a large variety of questions that require you to draw free body diagrams to solve, while the second goes more in-depth on inclined plane forces components.