Mechanics (Statics) — Forces resolution

About this lesson

This unit teaches the resolution of a force into two components. It begins with resolving a force into two given directions using the triangle of forces and the sine rule, with worked examples and exercises. It then covers resolving a force into two perpendicular directions, deriving the formulas F₁ = R cos θ and F₂ = R sin θ. The unit also introduces the concept of an inclined plane and shows how to find the components of a weight acting on a body placed on such a plane, both parallel and normal to the plane. Applications include a lamp suspended by two rods and a cruiser pulled by two ships. By the end, a student should be able to resolve a given force into two components in specified directions, including perpendicular components, and apply this to problems involving inclined planes and real-world contexts.