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  2. Free body diagram - Wikipedia

    en.wikipedia.org/wiki/Free_body_diagram

    In statics all forces and moments must balance to zero; the physical interpretation is that if they do not, the body is accelerating and the principles of statics do not apply. In dynamics the resultant forces and moments can be non-zero. Free body diagrams may not represent an entire physical body. Portions of a body can be selected for analysis.

  3. Statics - Wikipedia

    en.wikipedia.org/wiki/Statics

    Statics is the branch of classical mechanics that is concerned with the ... The moment of inertia plays much the same role in rotational dynamics as mass does in ...

  4. 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.

  5. Dynamics (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Dynamics_(mechanics)

    In physics, dynamics or classical dynamics [1] [2] [3] is the study of forces and their effect on motion. It is a branch of classical mechanics , along with statics and kinematics . The fundamental principle of dynamics is linked to Newton's second law .

  6. Analytical mechanics - Wikipedia

    en.wikipedia.org/wiki/Analytical_mechanics

    The number of curvilinear coordinates equals the dimension of the position space in question (usually 3 for 3d space), while the number of generalized coordinates is not necessarily equal to this dimension; constraints can reduce the number of degrees of freedom (hence the number of generalized coordinates required to define the configuration ...

  7. Comparative statics - Wikipedia

    en.wikipedia.org/wiki/Comparative_statics

    Comparative statics was formalized by John R. Hicks (1939) and Paul A. Samuelson (1947) (Kehoe, 1987, p. 517) but was presented graphically from at least the 1870s. [2] For models of stable equilibrium rates of change, such as the neoclassical growth model, comparative dynamics is the counterpart of comparative statics (Eatwell, 1987).

  8. List of dynamical systems and differential equations topics

    en.wikipedia.org/wiki/List_of_dynamical_systems...

    Dynamics (mechanics) Classical mechanics; Isolated physical system. Lagrangian mechanics; Hamiltonian mechanics; Routhian mechanics; Hamilton-Jacobi theory; Appell's equation of motion; Udwadia–Kalaba equation; Celestial mechanics; Orbit; Lagrange point. Kolmogorov-Arnold-Moser theorem; N-body problem, many-body problem; Ballistics

  9. D'Alembert's principle - Wikipedia

    en.wikipedia.org/wiki/D'Alembert's_principle

    Jean d'Alembert (1717–1783). D'Alembert's principle, also known as the Lagrange–d'Alembert principle, is a statement of the fundamental classical laws of motion. It is named after its discoverer, the French physicist and mathematician Jean le Rond d'Alembert, and Italian-French mathematician Joseph Louis Lagrange.

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