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SCLERONOMOUS

Scleronomous

Mechanical system whose constraints are independent of time

A mechanical system is scleronomous if the equations of constraints do not contain the time as an explicit variable and the equation of constraints can

Scleronomous

Rheonomous

Mechanical system whose constraints are dependent on time

constraints are called rheonomic constraints. The opposite of rheonomous scleronomous. As shown at right, a simple pendulum is a system composed of a weight

Rheonomous

Hamiltonian mechanics

Formulation of classical mechanics using momenta

{\mathbf {r} }}_{k}({\boldsymbol {q}},{\boldsymbol {\dot {q}}})} (See Scleronomous § Application). Therefore, the kinetic energy is T ( q , q ˙ ) = 1 2

Hamiltonian mechanics

Hamiltonian_mechanics

Pfaffian constraint

{non-integrable, integrable} × {scleronomous, rheonomous} × {acatastatic, catastatic}. A Pffafian constraint system is scleronomous/acatastic iff all its constraints

Pfaffian constraint

Pfaffian_constraint

Monogenic system

Type of system in classical mechanics

{\mathcal {F}}_{i}=-{\frac {\partial {\mathcal {V}}}{\partial q_{i}}}.} Scleronomous J., Butterfield (3 September 2004). "Between Laws and Models: Some Philosophical

Monogenic system

Monogenic_system

Mass matrix

Matrix relating a system's generalized coordinate vector and kinetic energy

deformed element. Moment of inertia Stress–energy tensor Stiffness matrix Scleronomous Mathematical methods for physics and engineering, K.F. Riley, M.P. Hobson

Mass matrix

Mass_matrix

Index of physics articles (S)

optician Scintillation (physics) Scintillation counter Scintillator Scleronomous Scott Anderson (physicist) Scott Diddams Scott Forbush Screened Poisson

Index of physics articles (S)

Index_of_physics_articles_(S)