Conservation of Angular Momentum

Conservation of Angular Momentum - conservation laws...

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Conservation of Angular Momentum From the work done in the last section we can easily derive the principle of conservation of angular momentum. After we have established this principle, we will examine a few examples that illustrate the principle. Principle of Conservation of Angular Momentum Recall from the last section that τ ext = . In light of this equation, consider the special case of when there is no net torque acting on the system. In this case, must be zero, implying that the total angular momentum of a system is constant. We can state this verbally: If no net external torque acts on a system, the total angular momentum of the system remains constant. This statement describes the conservation of angular momentum. It is the third of the major
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Unformatted text preview: conservation laws encountered in mechanics (along with the conservation of energy and of linear momentum). There is one major difference between the conservation of linear momentum and conservation of angular momentum. In a system of particles, the total mass cannot change. However, the total moment of inertia can. If a set of particles decreases its radius of rotation, it also decreases its moment of inertia. Though angular momentum will be conserved under such circumstances, the angular velocity of the system might not be. We shall explore these concepts through some examples....
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