Linear momentum vs angular momentum

If the angular momentum of a body is conserved about a point, Then is it true that the Linear momentum is also conserved?


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Cannot Be Determined. False True

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1 solution

Md Zuhair
Mar 9, 2017

It cannot be determined because We know Angular momentum is conserved means L= constant or d L d t = 0 \dfrac{dL}{dt} = 0

So now , τ e x t = 0 \tau_{ext} = 0

So no External torque is acting on it.

So it doesnt mean that No F e x t F_{ext} is acting on it, As τ e x t = F e x t . r \tau_{ext} = F_{ext} .r

So If r=0 then also τ e x t = 0 \tau_{ext} = 0

And If F e x t = 0 F_{ext} = 0 then also τ e x t = 0 \tau_{ext} = 0

And Linear momentum is conserved when F e x t = 0 F_{ext} = 0

So it may or may not be,

So we cannot determine it by this statement.

Hence answer is Cannot be determined \boxed{\text{Cannot be determined}}

It is not necessary that linear momentum remains conserved simple think of an example of uniform circular motion linear momentum changes in dt time but angular momentum remains convered.

Nivedit Jain - 4 years, 3 months ago

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That is what I have said. It cannot be determined

Md Zuhair - 4 years, 3 months ago

SERIOUSLY ? level 5 ?

A Former Brilliant Member - 4 years, 1 month ago

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