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Force is an impact that changes an object's motion, shape, or orientation. It is a vector quantity with both magnitude and direction, measured in newtons (N) in the SI unit system. For example, an object with a mass of 1 kg accelerating at 1 m/s² experiences a force of 1 N. Forces can result from physical contact, such as pushing or pulling, or non-contact interactions like magnetic or gravitational forces.

External forces are applied to a body from outside and create reactive forces on its surroundings, such as body weight or friction. Internal forces are reaction forces existing within the body material itself. When an external force acts on a bracket, for example, the external effects are reactive forces from the foundation and bolts, while internal effects are the resulting stresses and deformations distributed throughout the material.

The principle of transmissibility states that if a force's point of application changes but remains on the same line of action, the resultant force on a rigid body remains unchanged. Two equal forces acting from different points on the same line of action produce the same effect as a single force. This principle is fundamental to understanding how forces affect rigid bodies in mechanics.

When a force is applied to an object through pushing or pulling, it causes the object to move. For instance, when water from a nozzle hits a turbine vane, it exerts a force that causes the vane to move along the flow direction. The magnitude and direction of the applied force determine how the object's motion, shape, or orientation changes.

Force is a vector quantity because it has both magnitude and direction. Simply knowing the strength of a force is insufficient; the direction in which it acts is equally important for predicting an object's response. This dual nature makes force fundamentally different from scalar quantities, which have only magnitude, and is essential for analyzing complex force systems.

Internal stresses and deformations are the internal effects that occur within a material when external forces are applied. These effects depend on the material properties and geometries of the body. For example, when a bracket experiences an external force, internal stresses and deformations develop throughout its material, distributed according to how the material responds to the applied load.

The line of action is the path along which a force acts on a body. According to the principle of transmissibility, forces acting on the same line of action are equivalent regardless of where they are applied, as long as they have equal magnitude and direction. This concept simplifies force analysis by allowing forces to be repositioned along their line of action without changing their effect on a rigid body.