Which branch of mechanics deals with the equilibrium of bodies at rest or in motion without acceleration?

The branch of mechanics that deals with the equilibrium of bodies at rest or in motion without acceleration is statics. Statics focuses on analyzing forces and torques acting on bodies that are in a state of equilibrium, meaning the forces are balanced, and there is no net force or acceleration. This is crucial in various applications, including engineering, architecture, and understanding the mechanics of the human body, particularly in chiropractic practice, where maintaining balance and proper alignment is essential for health and wellness.

In contrast, dynamics deals with forces and their impact on the motion of objects, which involves acceleration. Kinetics, a subset of dynamics, specifically studies the forces causing the motion of objects rather than the condition of equilibrium. Biomechanics applies mechanical principles to biological systems but can encompass both statics and dynamics, depending on whether it's analyzing forces in motion or balance. Therefore, statics is uniquely focused on the conditions of rest or uniform motion without acceleration.