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Angular Analogue of Linear Momentum

If the angula...

Question

If the angular momentum of a body is zero about some point. Is it necessary that it will be zero about a different point?

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Solution

Angular momentum is zero about all the points which lie on the velocity vector, but non-zero about any point which don't lie on the velocity vector.

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Q. A body is in translational equilibrium under the action of coplanar forces. If the torque of these forces is zero about a point, is it necessary that it will also be zero about any other point?

\to τ

on a body about a given point is found to be

\to A \times \to L

\to A

is a constant vector and

\to L

is angular momentum of the body about that point. From this it follows that

\to τ

on a body about a given point is found to be equal to

\to A \times \to L

\to A

is a constant vector and

\to L

is the angular momentum of the body about that point. From this it follows that :

\to τ \times \to L = 0

for a rigid body, where

\to τ =

resultant torque &

\to L =

angular momentum about a point and both are non - zero. Then

\to τ \times \to L = 0

for a rigid body , where

\to τ

= resultant torque &

\to L

= angular momentum about a point and both are non - zero. Then

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Angular Analogue of Linear Momentum

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