Angular momentum in gyroscopic effect

Aniket1
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Why does the magnitude of angular momentum remain constant in gyroscopes?
 
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In what sense? Both the magnitude and the direction of the angular momentum are conserved, unless there's an external torque, and if there's a torque, both the magnitude and direction can change.
 

Thread 'Derivation of Hamilton's Principle: Questions'

I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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