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  2. Conservative force - Wikipedia

    en.wikipedia.org/wiki/Conservative_force

    Gravitational force is an example of a conservative force, while frictional force is an example of a non-conservative force. Other examples of conservative forces are: force in elastic spring, electrostatic force between two electric charges, and magnetic force between two magnetic poles. The last two forces are called central forces as they ...

  3. Mechanical energy - Wikipedia

    en.wikipedia.org/wiki/Mechanical_energy

    The difference between a conservative and a non-conservative force is that when a conservative force moves an object from one point to another, the work done by the conservative force is independent of the path. On the contrary, when a non-conservative force acts upon an object, the work done by the non-conservative force is dependent of the path.

  4. Hamiltonian mechanics - Wikipedia

    en.wikipedia.org/wiki/Hamiltonian_mechanics

    In physics, Hamiltonian mechanics is a reformulation of Lagrangian mechanics that emerged in 1833. Introduced by Sir William Rowan Hamilton , [ 1 ] Hamiltonian mechanics replaces (generalized) velocities q ˙ i {\displaystyle {\dot {q}}^{i}} used in Lagrangian mechanics with (generalized) momenta .

  5. 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.

  6. Classical mechanics - Wikipedia

    en.wikipedia.org/wiki/Classical_mechanics

    If the work done in moving the particle from r 1 to r 2 is the same no matter what path is taken, the force is said to be conservative. Gravity is a conservative force, as is the force due to an idealized spring, as given by Hooke's law. The force due to friction is non-conservative.

  7. Conservative system - Wikipedia

    en.wikipedia.org/wiki/Conservative_system

    A non-singular dynamical system is conservative if, for every set of positive measure and for every , one has some integer > such that () >. Informally, this can be interpreted as saying that the current state of the system revisits or comes arbitrarily close to a prior state; see Poincaré recurrence for more.

  8. Newton's laws of motion - Wikipedia

    en.wikipedia.org/wiki/Newton's_laws_of_motion

    The forces acting on a body add as vectors, and so the total force on a body depends upon both the magnitudes and the directions of the individual forces. [ 23 ] : 58 When the net force on a body is equal to zero, then by Newton's second law, the body does not accelerate, and it is said to be in mechanical equilibrium .

  9. Force - Wikipedia

    en.wikipedia.org/wiki/Force

    A conservative force that acts on a closed system has an associated mechanical work that allows energy to convert only between kinetic or potential forms. This means that for a closed system, the net mechanical energy is conserved whenever a conservative force acts on the system.