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- Monogenic_system abstract "In physics, among the most studied physical systems in classical mechanics are monogenic systems. A monogenic system has excellent mathematical characteristics and is very well suited for mathematical analysis. It is considered a logical starting point for any serious physics endeavour.In a physical system, if all forces, with the exception of the constraint forces, are derivable from the generalized scalar potential, and this generalized scalar potential is a function of generalized coordinates, generalized velocities, or time, then, this system is a monogenic system.Expressed using equations, the exact relationship between generalized force and generalized potential is as follows:where is generalized coordinate, is generalized velocity, and is time.If the generalized potential in a monogenic system depends only on generalized coordinates, and not on generalized velocities and time, then, this system is a conservative system.The relationship between generalized force and generalized potential is as follows: ；Lagrangian mechanics often involves monogenic systems. If a physical system is both a holonomic system and a monogenic system, then it is possible to derive Lagrange's equations from d'Alembert's principle; it is also possible to derive Lagrange's equations from Hamilton's principle.".
- Monogenic_system wikiPageID "14479902".
- Monogenic_system wikiPageRevisionID "579201977".
- Monogenic_system hasPhotoCollection Monogenic_system.
- Monogenic_system subject Category:Classical_mechanics.
- Monogenic_system subject Category:Dynamical_systems.
- Monogenic_system subject Category:Hamiltonian_mechanics.
- Monogenic_system subject Category:Lagrangian_mechanics.
- Monogenic_system subject Category:Mechanics.
- Monogenic_system type Abstraction100002137.
- Monogenic_system type Attribute100024264.
- Monogenic_system type DynamicalSystem106246361.
- Monogenic_system type DynamicalSystems.
- Monogenic_system type PhaseSpace100029114.
- Monogenic_system type Space100028651.
- Monogenic_system comment "In physics, among the most studied physical systems in classical mechanics are monogenic systems. A monogenic system has excellent mathematical characteristics and is very well suited for mathematical analysis.".
- Monogenic_system label "Monogenic system".
- Monogenic_system label "النظام أحادي الجين".
- Monogenic_system label "單演系統".
- Monogenic_system sameAs 모노제닉_계.
- Monogenic_system sameAs m.03d4vd3.
- Monogenic_system sameAs Q6901596.
- Monogenic_system sameAs Q6901596.
- Monogenic_system sameAs Monogenic_system.
- Monogenic_system wasDerivedFrom Monogenic_system?oldid=579201977.
- Monogenic_system isPrimaryTopicOf Monogenic_system.