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The angular momentum of a system is not conserved when a net external torque acts upon the system.
Angular momentum is the moment of momentum, a conserved vector quantity used to state the overall condition of a physical system.
Usually you would use some fact you know about the physical system, and then write an equation that states that the total angular momentum "before" = the total angular momentum "after" some event.
That means that a quantity, called "momentum", can be defined, and that this quantity does not change over time. In any collision, for example, the momentum (which is defined as mass x velocity) of individual objects can change, but the total momentum does not change. Please note that since velocity is a vector quantity, momentum is also a vector quantity.
An object or system of objects will maintain its angular momentum unless acted upon by an external net torque.
An angular momentum is the vector product which describes the rotary inertia of a system around its axis and is conserved in a closed system.
More or less. There is a law of conservation of angular momentum, according to which Earth can't gain or lose angular momentum on its own - if for example it loses angular momentum, it has to go somewhere. A meteor who falls into the Earth, or a rocket leaving the Earth can change Earth's angular momentum - but the total angular momentum (e.g., of the system meteor + Earth) is the same, before and after the impact.
The angular momentum of a system is not conserved when a net external torque acts upon the system.
Angular momentum is the moment of momentum, a conserved vector quantity used to state the overall condition of a physical system.
Usually you would use some fact you know about the physical system, and then write an equation that states that the total angular momentum "before" = the total angular momentum "after" some event.
That means that a quantity, called "momentum", can be defined, and that this quantity does not change over time. In any collision, for example, the momentum (which is defined as mass x velocity) of individual objects can change, but the total momentum does not change. Please note that since velocity is a vector quantity, momentum is also a vector quantity.
Actually it doesn't - but the changes are quite small. There is a physical law called Conservation of Angular Momentum - the total angular momentum (informally, we might say the "amount of rotation") can't increase or decrease in a closed system. If the distribution of masses on Earth changes, Earth's angular velocity can change - but any redistribution of masses is rather small-scale, compared to the size of the Earth. On the other hand, Earth rotates slower and slower over time - angular momentum is transferred to the Moon in this case.
orbits of the planets.
An object or system of objects will maintain its angular momentum unless acted upon by an external net torque.
There are several conservation laws in physics; each one states that something doesn't change in a closed system. Some of the things that won't change (that are conserved) are:* Momentum * Rotational momentum * Mass * Energy * Electric charge
Gets doubled
Using the commutation relation will help us compute the allowed total angular momentum quantum numbers of a composite system.