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Two objects are in interaction when they simultaneously exert forces on each other, leading to mechanical actions that can deform, move, change the trajectory of an object, or maintain equilibrium.
Interactions can be classified as contact interactions, where objects are physically touching, and at-a-distance interactions, where objects exert forces on each other without direct contact.
A force is a physical quantity that can produce or modify the motion of a body (dynamic effect) or deform it (static effect).
A force is a vector quantity characterized by a point of application, a line of action, a direction, and a magnitude or intensity measured in Newtons (N).
A force exerted by body A on body B is represented by a directed line segment (vector) labeled F_A/B, with its length corresponding to the force's magnitude based on a chosen scale.
As vectors, forces can undergo various operations such as addition and decomposition, allowing for complex interactions to be analyzed mathematically.
When two forces F1 and F2 have the same direction and sense, their magnitudes are simply added together to find the resultant force F = F1 + F2.
When two forces F1 and F2 act in opposite directions, the resultant force is the difference of their magnitudes, F = |F1 - F2|, in the direction of the larger force.
For two forces F1 and F2 that are perpendicular, the resultant force can be calculated using the Pythagorean theorem: F = √(F1² + F2²).
Decomposing a force involves determining its components along specified axes in a coordinate system, allowing for easier analysis of the force's effects.
A contact force is one that occurs when two bodies are physically touching each other, such as friction, tension, or normal force.
The reaction force is the force exerted by a support on an object resting on it, counteracting the weight of the object, and is often referred to as the normal force.
An indéformable system maintains constant distances between its points over time, while a déformable system experiences changes in distances between its parts.
External forces are those exerted by the environment on the defined system, influencing its motion or equilibrium.
Internal forces are those exerted by one part of the system on another part, affecting the system's internal dynamics but not its overall motion.
Understanding the properties of forces is crucial for analyzing and predicting the behavior of physical systems under various conditions, enabling effective problem-solving in mechanics.
Forces can be measured using a dynamometer, which quantifies the force based on its effect on a spring or other measuring device calibrated in Newtons.
Forces play a critical role in maintaining equilibrium by balancing each other out, ensuring that the net force acting on a system is zero, which prevents motion.
The angle between two forces affects the resultant force's magnitude and direction, with different mathematical approaches required for angles other than 0° or 90°.
Friction is a contact force that opposes the relative motion of two surfaces in contact, affecting the net force and motion of objects.
Force is directly related to motion; it is the cause of changes in an object's velocity, as described by Newton's second law of motion (F = ma).
The net force acting on an object is determined by vectorially adding all the individual forces acting on it, taking into account their magnitudes and directions.