Net Torque: Calculating Momentum & Time

AI Thread Summary
Net torque is defined as the change in angular momentum divided by time, similar to how net force relates to linear momentum. Angular momentum can be expressed as the product of angular velocity and moment of inertia, which depends on mass distribution. When net torque is applied to an object, it can result in either constant angular speed or angular acceleration, depending on the circumstances. The discussion clarifies the relationship between these concepts and corrects initial misconceptions. Understanding these principles is essential for analyzing rotational motion effectively.
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is there any formula of net torque? as we know, net force = momentum / time right? what about net torque?
 
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Net force is change in momentum divided by time. Net torque is change in angular momentum divided by time.
 
So, angular momentum = change in angular velocity x mass?

Please correct me if I'm wrong. Then, if net torque is applied, an object will experience a constant angular speed or an angular acceleration ?
 
Ok. I get it now. Thanks for your help. =)
 

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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