Mechanics (Statics) — Forces

About this lesson

This unit introduces the fundamental concepts of statics in mechanics, focusing on forces and their properties. It defines a force by its magnitude, direction, and point of action, and distinguishes between scalar and vector quantities. The unit explains how to represent forces as directed line segments and introduces the concept of a rigid body and weight force. It then covers the resultant of two forces acting at a point, both graphically using the parallelogram law and analytically using the cosine rule and sine rule. Special cases are discussed, such as forces acting in the same or opposite directions, perpendicular forces, and equal forces. Students learn to calculate the magnitude and direction of the resultant for various configurations and solve problems involving given forces and angles. The unit includes worked examples, activities using GeoGebra, and exercises for practice.