Angular momentum plays a key role in dealing with central forces because it is constant over time. Suppose the angular momentum, L, of a point mass is given by: 2=7 x p By nature of the cross product, what two properties does i have? Show that: If a particle is subject to a central force only, then its angular momentum is conserved i.e. If V(r) = V(r), then dL/dt = 0. %3D %3D

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Angular momentum plays a key role in dealing with central forces because it
is constant over time. Suppose the angular momentum, L, of a point mass is
given by:
By nature of the cross product, what two properties does L have?
Show that: If a particle is subject to a central force only, then its angular
momentum is conserved i.e. If V(r) = V(r), then dL/dt = 0.
Transcribed Image Text:Angular momentum plays a key role in dealing with central forces because it is constant over time. Suppose the angular momentum, L, of a point mass is given by: By nature of the cross product, what two properties does L have? Show that: If a particle is subject to a central force only, then its angular momentum is conserved i.e. If V(r) = V(r), then dL/dt = 0.
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