3.6. Angular momentum plays a key role in dealing with central forces because it iS constant over time. Suppose the angular momentum, é, of a point mass is given by: 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. 3.7

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3.6. Angular momentum plays a key role in dealing with central forces because it
is constant over time. Suppose the angular momentum, í, of a point mass is
given by:
i=7 x p
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 dLldt = 0.
3.7.
Transcribed Image Text:3.6. Angular momentum plays a key role in dealing with central forces because it is constant over time. Suppose the angular momentum, í, of a point mass is given by: i=7 x p 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 dLldt = 0. 3.7.
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