conang

# conang - Conservation of angular momentum THEORY Consider a...

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Conservation of angular momentum THEORY Consider a system consisting of a single particle of mass m i that has position, r i and velocity, v i . Relative to the origin, the particle has an angular momentum given by, L i r i x (m i v i ), Differentiating this we obtain, d L i /dt = r i x (m i a i ) = r i x F net,i τ net,i In the last step we defined the net torque on the i th particle. Next, consider a system of particles. Newton’s second law for a system of particles is Σ F ext = d P /dt , where is Σ F ext is the net external force acting on the system and P is the linear momentum of the system. For the same system of particles, Newton’s second law for rotation is Σ τ ext = d L /dt , where is Σ τ ext is the net external torque acting on the system and L is the angular momentum of the system.

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The conservation of linear momentum occurs if Σ F ext = 0, for then P i = P f . The conservation of angular momentum
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conang - Conservation of angular momentum THEORY Consider a...

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