# Mechanics: Describe, analyse and apply principles of concurrent forces

### Subject outcome

Subject outcome 2.2: Describe, analyse and apply principles of concurrent forces

### Learning outcomes

- Identify force as a vector.
- Construct vector diagrams of two forces to determine the relationship between the resultant and angle between forces (range [latex]\scriptsize 0^\circ[/latex]–[latex]\scriptsize 180^\circ[/latex])
- Determine the resultant of two forces acting simultaneously on a body.
- Determine components of a force by calculation or by construction.
- Identify an object or system of masses in equilibrium.
- Draw a labelled force diagram (free-body diagram) and vector diagram of three non-parallel forces in equilibrium and find unknown force by construction or mathematically.
- Range: systems to include mass in suspension on ropes or cables, mass on an inclined plane, object with frictional force acting on it.

- Define, identify and calculate the equilibrant of a system.

### Unit 1 outcomes

By the end of this unit you will be able to:

- Identify force as a vector.
- Construct vector diagrams of two forces to determine the relationship between the resultant and angle between forces (range [latex]\scriptsize 0^\circ[/latex]–[latex]\scriptsize 180^\circ[/latex]).
- Determine the resultant of two forces acting simultaneously on a body.

### Unit 2 outcomes

By the end of this unit you will be able to:

- Determine components of a force by calculation or by construction.
- Identify an object or system of masses in equilibrium.
- Define, identify and calculate the equilibrant of a system.

### Unit 3 outcomes

By the end of this unit you will be able to:

- Draw a labelled force diagram (free-body diagram) and vector diagram of three non-parallel forces in equilibrium and find unknown force by construction or mathematically as applied to:
- mass in suspension on ropes or cables
- mass on an inclined plane
- object with frictional force acting on it.