Equilibrium in 1D (Edexcel AS Maths): Revision Note

Equilibrium in 1D

What is Newton’s First Law of Motion (N1L)?

• An object at rest will stay at rest, and an object moving with constant velocity will continue to move with constant velocity, unless an unbalanced force acts on the object.

What is the resultant force and an unbalanced force?

• The resultant force is the sum of forces acting on a particle – consider it as a single force that achieves the same result as all the forces combined

• An unbalanced force is a force acting on a particle that is not cancelled by another force acting in the opposite direction

• So a non-zero resultant force will be unbalanced (hence the wording in Newton’s First Law of Motion) and the particle will accelerate

What does equilibrium mean?

• A particle is in equilibrium if the resultant force acting on it is zero

  • In other words when the sum of the forces acting on a particle is zero

  • For example, in the horizontal direction, any forces acting to move the particle to the left will be balanced by any forces acting to move the particle to the right.

  • There does not need to be the same number of forces in both directions – two forces could be acting to move the particle to the left but are cancelled out by only one force acting to move the particle to the right.