Dynamics (mathematics)

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The study of motion of bodies considering the forces that cause the motion.

Vectors: Vectors in mathematics are quantities that have both a magnitude (or length) and a direction.
Kinematics: Kinematics is the study of motion, without regard to forces or mass.
Newton's Laws: Newton's laws of motion are three physical laws that describe the relationship between a body and the forces acting upon it, and its motion in response to those forces.
Work, Energy and Power: Work, energy and power are concepts used to describe the physical world in terms of the amount of work done, the amount of energy produced and the rate at which work is done or energy is produced.
Impulse and Momentum: Impulse and momentum are concepts used to describe the physical world in terms of the forces applied, the amount of time over which they are applied, and the mass of the object upon which they are acting.
Circular Motion and Gravitation: Circular motion is any motion in which an object is moving along a circular path, whereas gravitation is the force of attraction between any two objects that have mass.
Simple Harmonic Motion: Simple harmonic motion describes the motion of any system where the restoring force is proportional to the displacement from the neutral position and is always directed towards that position.
Fluid Dynamics: Fluid dynamics is the study of how fluids flow and the physical properties of fluid in motion such as density, pressure, and temperature.
Thermodynamics: Thermodynamics is the study of the relationship between heat, temperature, energy and work, and the laws governing the behavior of energy and heat transfer in a system.
Electromagnetism: Electromagnetism is a branch of physics that studies the relationship between electricity and magnetism, and how the presence of one can create the other.
"Classical mechanics is a physical theory describing the motion of macroscopic objects, from projectiles to parts of machinery and astronomical objects, such as spacecraft, planets, stars, and galaxies."
"For objects governed by classical mechanics, if the present state is known, it is possible to predict how it will move in the future (determinism)."
"For objects governed by classical mechanics, if the present state is known, it is possible to [...] how it has moved in the past (reversibility)."
"The 'classical' in 'classical mechanics' does not refer classical antiquity, as it might in, say, classical architecture. On the contrary, the development of classical mechanics involved substantial change in the methods and philosophy of physics."
"The qualifier distinguishes classical mechanics from physics developed after the revolutions of the early 20th century, which revealed limitations of classical mechanics."
"It consists of the physical concepts based on foundational works of Sir Isaac Newton, and the mathematical methods invented by Gottfried Wilhelm Leibniz, Joseph-Louis Lagrange, Leonhard Euler, and other contemporaries in the 17th century to describe the motion of bodies under the influence of forces."
"Later, more abstract methods were developed, leading to the reformulations of classical mechanics known as Lagrangian mechanics and Hamiltonian mechanics."
"These advances, made predominantly in the 18th and 19th centuries, extend substantially beyond earlier works, particularly through their use of analytical mechanics."
"They are, with some modification, also used in all areas of modern physics."
"Classical mechanics provides accurate results when studying large objects that are not extremely massive and speeds not approaching the speed of light."
"When the objects being examined have about the size of an atom diameter, it becomes necessary to introduce the other major sub-field of mechanics: quantum mechanics."
"To describe velocities that are not small compared to the speed of light, special relativity is needed."
"In cases where objects become extremely massive, general relativity becomes applicable."
"A number of modern sources do include relativistic mechanics in classical physics, which in their view represents classical mechanics in its most developed and accurate form."
"[Classical mechanics describes] the motion of macroscopic objects, from projectiles to parts of machinery and astronomical objects, such as spacecraft, planets, stars, and galaxies."
"For objects governed by classical mechanics, if the present state is known, it is possible to predict how it will move in the future (determinism)."
"It consists of the physical concepts based on foundational works of Sir Isaac Newton, and the mathematical methods invented by Gottfried Wilhelm Leibniz, Joseph-Louis Lagrange, Leonhard Euler, and other contemporaries in the 17th century to describe the motion of bodies under the influence of forces."
"Later, more abstract methods were developed, leading to the reformulations of classical mechanics known as Lagrangian mechanics and Hamiltonian mechanics."
"They are, with some modification, also used in all areas of modern physics."
"Classical mechanics provides accurate results when studying large objects that are not extremely massive and speeds not approaching the speed of light."