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In the book of Classical Mechanics by GolsteinGoldstein, at page 19, while deriving D'Alembert's principle, the author assumes that

$$\dot p = m \ddot r.$$

However, when the mass of the bodies also changes, is the principle still correct, or can be corrected  ? If so, how  ?

In the book of Classical Mechanics by Golstein, at page 19, while deriving D'Alembert's principle, the author assumes that

$$\dot p = m \ddot r.$$

However, when the mass of the bodies also changes, is the principle still correct, or can be corrected  ? If so, how  ?

In the book of Classical Mechanics by Goldstein, at page 19, while deriving D'Alembert's principle, the author assumes that

$$\dot p = m \ddot r.$$

However, when the mass of the bodies also changes, is the principle still correct, or can be corrected? If so, how?

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D'Alembert's principle when the mass of the particles are changing

In the book of Classical Mechanics by Golstein, at page 19, while deriving D'Alembert's principle, the author assumes that

$$\dot p = m \ddot r.$$

However, when the mass of the bodies also changes, is the principle still correct, or can be corrected ? If so, how ?