Lesson: Equivalent System of Forces to a Couple Mathematics

In this lesson, we will learn how to identify the conditions for a system of coplanar forces to be equivalent to a couple and find its moment.

Lesson Plan

Students will be able to

identify when a system of forces is equivalent to a couple and find its moment,
find missing forces that make a system equivalent to a couple.

Lesson Presentation

Lesson Video

Lesson Explainer

Lesson Worksheet

Q1:

In the given figure, if the forces that act on a light rod are equivalent to a couple, find the moment of this couple.

Q2:

In the given figure, if the forces that act on a light rod are equivalent to a couple and the moment of this couple is equal to 17 N⋅cm, find and .

Q3:

is a square of side length 90 cm. Forces of magnitudes of 25, 80, 25, and 80 newtons are acting along the square’s sides, and two forces, each of magnitude newtons, are acting at and as shown in the figure. Calculate the moment of the couple which is equivalent to this system, giving your answer in N⋅cm