Question regarding this Basketball Kinematics Diagram

AI Thread Summary
The discussion centers around a basketball kinematics diagram and the need for additional context from a referenced paper. Participants express interest in the problem and request a link to the full paper for better understanding. The key points highlight that the basketball experiences both linear and rotational motion. It is noted that the work done on the ball results in the conversion of energy into both angular and linear momentum. The conversation emphasizes the complexity of the motion involved in basketball dynamics.
msfd
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Welcome to the PF. :smile:

What a fun problem and question. Can you post a link to the whole paper? I'm not seeing enough of their development in your attachment to be able to help so far.
 
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The ball will do both linear and rotational motion.The work done on the ball will be converted in both angular and linear momentum.
 
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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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