Is it true that conservation of linear momentum implies conservation of
angular momentum?

On first thought, it seems that integrating the linear momenta of
infinitesimal elements of a rigid body implies that angular momentum is just
the sum of all the linear momenta.

In particular, if a device is shown to violate conservation of angular
momentum, does that imply that conservation of linear momentum is also
violated?

Hoyt Stearns
Scottsdale Arizona US

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