Chapter 2, Problem 8A

What does ${\displaystyle \sum F}=0$ mean?

To determine

The meaning of ${\displaystyle \sum F}=0$ .

Answer to Problem 8A

It means that the net force on the considered object is zero and the considered system is in equilibrium.

Explanation of Solution

Introduction:

Whenever the state of motion or rest of an object is to be changed, force is needed.

The net force is the combination of all the forces acting on an object. Thus, if it is given that ${\displaystyle \sum F}=0$ , then it means that the net forces on the considered object is zero. And, thereby the system is in equilibrium.

Conclusion:

Hence, ${\displaystyle \sum F}=0$ means that the considered system is in equilibrium.