Cantidad de Movimiento Angular

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Es un movimiento asociado a un objeto o cuerpo que realiza una rotación en un punto fijo.

   ×    ×     ×  

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Conservación de la cantidad de movimiento angular Cuando la suma de los momentos externos es cero, se sabe que:

  0 

Eso quiere decir que L es una constante. constante. Y siendo L una constante constante se puede decir que:

 

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La cantidad de movimiento angular de un sistema aislado permanece constante en magnitud y en dirección. El momento angular es una cantidad vectorial y la suma de vectores de los momentos angulares de las partes de un sistema aislado es constante.

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El momento angular total de un sistema de partículas con respecto a un determinado punto se define como la suma vectorial de los momento angulares de las partículas individuales con respecto a ese punto.

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   + 2 + ⋯ +     =

En un sistema continuo habría que reemplazar la suma por una integral.

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               

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Sin embargo, debido al principio de acción y reacción, el torque neto debido a las fuerzas internas se anula. Se puede concluir que el momento angular total de un sistema de  partículas puede puede variar con con el tiempo si si y sólo si existe existe un torque neto debido a las fuerzas externas que actúan sobre el sistema.

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     = El torque neto (con respecto a un eje que pase por un origen en

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Consideremos una placa que rota alrededor de un eje perpendicular y que coincide con el eje z de un sistema de coordenadas.

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Y la cantidad de movimiento angular del sistema de cuerpo rígido en rotación (que en este caso particular sólo sólo tiene componente componente a lo largo de z) es:

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                  ²

²

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