Statics

Lore & Background

Archimedes (c. Later developments in the field of statics are found in works of Thebit. The fundamental equations of statics are F = ma = 0 (the first condition for equilibrium) and M = Iα = 0 (the second condition for equilibrium), which together can be used to solve for unknown quantities acting on a system.

Reader's Guide

Statics is a foundational branch of classical mechanics that provides the tools for analyzing systems in equilibrium, where the net force and net moment are zero. Its principles are directly derived from Newton's second law, with the condition that acceleration is zero, meaning the system is either at rest or moving at constant velocity. The moment of a force, or torque, is defined as the cross product of the radius vector and the force vector, and its magnitude equals the force multiplied by the perpendicular distance to the axis. Forces are classified as contact forces (from direct physical contact) or body forces (from a force field like gravity). The work of Archimedes and later Thebit established the early foundations of this field, which remains essential for engineering and physics.

Did You Know?

• Statics applies Newton's second law with the condition that acceleration equals zero.
• The moment of a force is also referred to as torque.
• A body force, such as weight, is generated by a force field and is independent of contact with any other body.
• The two conditions for equilibrium are F = ma = 0 and M = Iα = 0.