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Net force and equilibrium

Beginner

Zero net force means zero acceleration.

Key relationΣF = 0

If the net force is zero the acceleration is zero: the body is at rest or moving at constant velocity (translational equilibrium). All forces form a closed polygon.

Worked example

A 10 kg lamp hung by two cables is in equilibrium when the vertical components of the tensions sum to 98 N.

Common mistake

Equilibrium doesn't mean no forces, only balanced forces.

In more detail

An object is in equilibrium when the net force on it is zero, so its acceleration is zero. It can still be moving, if its velocity is constant.

Real-world uses

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Frequently asked questions

Does equilibrium mean at rest?

Not necessarily. Constant velocity also means zero net force.

How do I check equilibrium?

Resolve forces into components and show that the sum in each direction is zero.

Does zero net force mean the object is stationary?

No. It means constant velocity, which can be zero or any steady value.

Related topics in Newton's Laws & Forces

Newton's third law · Weight and normal force · Free-body diagrams · Tension · Atwood machine · Connected bodies

← All Newton's Laws & Forces topics