Lesson: Equilibrium of a Rigid Body under Coplanar Couples Mathematics

In this lesson, we will learn how to investigate the equilibrium of a rigid body under the action of two or more coplanar couples.

Lesson Plan

Students will be able to

understand the relationship between two or more couples and the equilibrium of a body,
determine whether a body is in equilibrium under the action of two or more couples,
use facts about couples and equilibrium to solve problems.

Lesson Presentation

Lesson Video

Lesson Explainer

Lesson Worksheet

Q1:

Complete the following: If the couples and are in equilibrium, where , then .

Q2:

The moments, and , of two couples satisfy the equation . Which of the following is therefore true?

Q3:

is a square. The forces , 20 N, , and 20 N act along the directions ,,, and respectively. Find the value of for the system to be in an equilibrium state.