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  2. Hooke's law - Wikipedia

    en.wikipedia.org/wiki/Hooke's_law

    In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring.

  3. Classical central-force problem - Wikipedia

    en.wikipedia.org/.../Classical_central-force_problem

    The central-force problem concerns an ideal situation (a "one-body problem") in which a single particle is attracted or repelled from an immovable point O, the center of force. [4] However, physical forces are generally between two bodies; and by Newton's third law, if the first body applies a force on the second, the second body applies an ...

  4. List of equations in classical mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    Classical mechanics is the branch of physics used to describe the motion of macroscopic objects. [1] It is the most familiar of the theories of physics. The concepts it covers, such as mass, acceleration, and force, are commonly used and known. [2] The subject is based upon a three-dimensional Euclidean space with

  5. Classical mechanics - Wikipedia

    en.wikipedia.org/wiki/Classical_mechanics

    F′ = F (the force on a particle is the same in any inertial reference frame) the speed of light is not a constant in classical mechanics, nor does the special position given to the speed of light in relativistic mechanics have a counterpart in classical mechanics. For some problems, it is convenient to use rotating coordinates (reference frames).

  6. Lagrangian mechanics - Wikipedia

    en.wikipedia.org/wiki/Lagrangian_mechanics

    Eliminating the angular velocity dθ/dt from this radial equation, [47] ¨ = +. which is the equation of motion for a one-dimensional problem in which a particle of mass μ is subjected to the inward central force −dV/dr and a second outward force, called in this context the (Lagrangian) centrifugal force (see centrifugal force#Other uses of ...

  7. Central force - Wikipedia

    en.wikipedia.org/wiki/Central_force

    A diagram of Central forces. In classical mechanics, a central force on an object is a force that is directed towards or away from a point called center of force. [a] [1]: 93 = = | | ^ where is the force, F is a vector valued force function, F is a scalar valued force function, r is the position vector, ||r|| is its length, and ^ = / ‖ ‖ is the corresponding unit vector.

  8. Force - Wikipedia

    en.wikipedia.org/wiki/Force

    This results in zero net force, but since the object started with a non-zero velocity, it continues to move with a non-zero velocity. Aristotle misinterpreted this motion as being caused by the applied force. When kinetic friction is taken into consideration it is clear that there is no net force causing constant velocity motion. [4]: ch.12 [5]

  9. Newton's laws of motion - Wikipedia

    en.wikipedia.org/wiki/Newton's_laws_of_motion

    Newton's laws are often stated in terms of point or particle masses, that is, bodies whose volume is negligible. This is a reasonable approximation for real bodies when the motion of internal parts can be neglected, and when the separation between bodies is much larger than the size of each.