SS3 Second Term Further Mathematics Lesson Note – Statics

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WEEK 1

TOPIC: STATICS 1

CONTENT:

1. Forces in Equilibrium
2. Resultant of Parallel Forces Acting on a Rigid Body (to include Polygon of Forces)

SUB TOPIC 1: FORCES IN EQUILIBRIUM

The state which a particle or a body attains when it has no translational or rotational acceleration is called equilibrium. Hence for a particle to be in equilibrium under a system of coplanar concurrent forces, the total resolute of all forces in any direction must be zero. i.e

Resultant of the system of coplanar concurrent forces, R = 0

PARRALLELOGRAM LAW states that if two forces acting at a point are represented in magnitude and direction by the adjacent sides of a parallelogram their resultant is represented in magnitude and direction by the diagonal of the parallelogram , drawn from the common point of the two forces.

EXAMPLE 1

Find the magnitude and direction of the resultant of two forces 5N and 12N acting at right angles to each other.

Solution:

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