Ch 25: Cambridge Pre-U Mathematics: Force & Equilibrium

About This Chapter

Force and equilibrium can be applied to mathematical concepts. This chapter of the Cambridge Pre-U Mathematics course reviews the ideas of force and equilibrium in order to help you get ready for the final exam.

Cambridge Pre-U Mathematics: Force & Equilibrium - Chapter Summary

The properties of force and equilibrium are part of the applied math concepts that appear on the Cambridge Pre-U Mathematics final exam. This set of video lessons focuses on the areas of force and equilibrium you will be seeing on the test. The topics in this chapter include the following:

  • Types of forces
  • Balanced and unbalanced foreces
  • Free-body diagrams and net force
  • Forces acting upon an object
  • Translational and rotational equilibrium
  • Examples of normal force
  • The smooth contact model
  • Forces of friction

Each lesson contains a self-assessment quiz that you can utilize to track your progress and see how well-prepared you are for the final Cambridge Pre-U Mathematics exam. If you get stuck on any material or just need some additional help with force and equilibrium, you can contact the experts with one click.

Cambridge Pre-U Mathematics: Force & Equilibrium Chapter Objectives

The final exam in the Cambridge Pre-U Mathematics course evaluates how well you have retained the knowledge gained from the duration of the class. Questions on force and equilibrium will appear on the Applications of Mathematics section. This is the last of three sections and makes up one third of the content and consisting of both medium and long questions.

9 Lessons in Chapter 25: Cambridge Pre-U Mathematics: Force & Equilibrium
Test your knowledge with a 30-question chapter practice test
Force: Definition and Types

1. Force: Definition and Types

Force is everywhere and it comes in a variety of sizes, directions, and types. In this video lesson, you'll identify force as well the different types of force that objects may experience.

Forces: Balanced and Unbalanced

2. Forces: Balanced and Unbalanced

Forces are needed to start or stop an object's motion, but can also be involved when an object is at rest or already traveling at constant velocity. In this video lesson, you'll identify the difference between balanced and unbalanced forces, understanding how they affect the movement of objects.

Free-Body Diagrams

3. Free-Body Diagrams

Forces that act on an object can be drawn through special vector diagrams called free-body diagrams. In this video lesson you'll identify how to correctly represent forces in a free-body diagram through vector arrows and force labels.

Net Force: Definition and Calculations

4. Net Force: Definition and Calculations

Because forces are vectors, we can't simply add them up to get a total amount of force on an object. Instead, we calculate the net force, which is important to understand because it tells us about an object's state of motion.

Determining the Individual Forces Acting Upon an Object

5. Determining the Individual Forces Acting Upon an Object

Objects constantly have forces acting on them whether they are moving or at rest. In this video lesson, you'll understand how to identify the individual forces acting on an object by reviewing the different types of forces and the use of free-body diagrams.

Equilibrium: Translational & Rotational

6. Equilibrium: Translational & Rotational

Learn about the requirements for an object to be under translational or rotational equilibrium. Then work through a couple example problems that show how we can use translational and rotational equilibrium to find the forces acting on an object.

Statics Problem-Solving Methods & Applications

7. Statics Problem-Solving Methods & Applications

Find out exactly what requirements need to be satisfied for a physics problem to be classified as a statics problem. Then learn the steps you take to solve these statics problems.

The Normal Force: Definition and Examples

8. The Normal Force: Definition and Examples

The normal force is also called the contact force because it only exists when objects are touching. In this lesson, we will investigate what the normal force is and how to calculate it on flat and inclined surfaces.

What is Friction? - Definition, Formula & Forces

9. What is Friction? - Definition, Formula & Forces

Friction is the force that opposes the motion of an object. Learn about the sources of friction, identify examples of friction and test your knowledge with quiz questions.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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