Applied Mathematics - Third secondary
Niveaux scolaires:
Système éducatif: National English

1. Understanding the principles of moments, coplanar forces, and couples in mechanics
Objectifs d'apprentissage:
1. Calculate moments of forces in 2D coordinate systems
2. Analyze systems of coplanar forces and their resultants
3. Apply equilibrium conditions to rigid bodies
4. Understand and calculate the effects of couples
5. Solve practical problems involving ladders, rods, and pulleys
6. Determine resultant couples in force systems
7. Apply theorems about force polygons and couples
Modules
1. Unit One: Moments
1. 1. 1 - 1 The moment of a force about a point in a 2-D coordinate system
Résultats d'apprentissage:
1. Defines the moment of a force about a point.
2. Calculates the moment of a force about a given point.
3. Explains the concept of the moment of coplanar forces about a point in their plane.
4. Determines the resultant moment of coplanar forces about a point in their plane.
2. Unit Two: Parallel coplanar forces
2. 1. 2 - 1 The resultant of parallel coplanar forces
Résultats d'apprentissage:
1. Determines the resultant of two like parallel forces.
2. Determines the resultant of two unlike parallel forces.
3. Calculates the resultant of a system of parallel and coplanar forces.
2. 2. 2 - 2 The equilibrium of a system of coplanar force
Résultats d'apprentissage:
1. Analyzes the equilibrium of a rigid body under the action of a system of parallel coplanar forces.
2. Applies the conditions of equilibrium to a rigid body acted upon by parallel coplanar forces.