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Motion of a Body Whose Mass is Changing

Published online by Cambridge University Press:  03 November 2016

Extract

In Routh’s Elementary Rigid Dynamics (Sixth edition, 1897, § 300) a section is given to the application of the principle of linear momentum to determine the gradual changes produced by alterations of mass, with examples; but I cannot recall that any modern textbook explicitly points out that the formulae

M dV/dt = F .....(1)

and d(MV)/dt = F, .....(2)

which serve to determine the motion of a body of constant mass, are not necessarily true when the mass is changing.

Type
Research Article
Copyright
Copyright © Mathematical Association 1941 

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