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  2. Hybrid system - Wikipedia

    en.wikipedia.org/wiki/Hybrid_system

    A hybrid system is a dynamical system that exhibits both continuous and discrete dynamic behavior – a system that can both flow (described by a differential equation) and jump (described by a state machine, automaton, or a difference equation). [ 1 ] Often, the term "hybrid dynamical system" is used instead of "hybrid system", to distinguish ...

  3. Analytical mechanics - Wikipedia

    en.wikipedia.org/wiki/Analytical_mechanics

    e. In theoretical physics and mathematical physics, analytical mechanics, or theoretical mechanics is a collection of closely related formulations of classical mechanics. Analytical mechanics uses scalar properties of motion representing the system as a whole—usually its kinetic energy and potential energy. The equations of motion are derived ...

  4. Rigid body dynamics - Wikipedia

    en.wikipedia.org/wiki/Rigid_body_dynamics

    The dynamics of an interconnected system of rigid bodies, Bi, j = 1, ..., M, is formulated by isolating each rigid body and introducing the interaction forces. The resultant of the external and interaction forces on each body, yields the force-torque equations. Newton's formulation yields 6 M equations that define the dynamics of a system of M ...

  5. Pennsylvania Railroad class S1 - Wikipedia

    en.wikipedia.org/wiki/Pennsylvania_Railroad_class_S1

    The boiler for the S1 was the largest built by the Pennsylvania Railroad; with 660 square feet (61 m 2) of direct heating surface and 500 one-inch diameter tubes, the total heating surface area of S1 was 7,746 square feet (719.6 m 2); it was 99.3% as massive as the boiler for Union Pacific's 4000-class "Big Boy" locomotives. In terms of drawbar ...

  6. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.

  7. Classical mechanics - Wikipedia

    en.wikipedia.org/wiki/Classical_mechanics

    v. t. e. Classical mechanics is a physical theory describing the motion of objects such as projectiles, parts of machinery, spacecraft, planets, stars, and galaxies. The development of classical mechanics involved substantial change in the methods and philosophy of physics. [ 1 ] The qualifier classical distinguishes this type of mechanics from ...

  8. Pennsylvania Railroad class Q1 - Wikipedia

    en.wikipedia.org/wiki/Pennsylvania_Railroad_class_Q1

    The Pennsylvania Railroad class Q1, #6130, was a single experimental steam locomotive designed for dual service. The locomotive entered service in 1942, and retired in 1949 after accumulating a relatively low 165,000 service miles. The Q1 had a 4-6-4-4 wheel arrangement, consisting of a four-wheel leading truck, two sets of driving wheels (six ...

  9. Second law of thermodynamics - Wikipedia

    en.wikipedia.org/wiki/Second_law_of_thermodynamics

    The second law of thermodynamics is a physical law based on universal empirical observation concerning heat and energy interconversions. A simple statement of the law is that heat always flows spontaneously from hotter to colder regions of matter (or 'downhill' in terms of the temperature gradient).