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Topic: Physics problem --ball rolling down an inclined plane
Replies: 8   Last Post: Dec 26, 2012 10:25 PM

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Peter Duveen

Posts: 163
From: New York
Registered: 4/11/12
Re: Physics problem --ball rolling down an inclined plane
Posted: Dec 24, 2012 10:23 AM
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Well, conservation of energy, which was, in its earliest forms, as mechanical energy or vis viva, applied to such problems, is a rather ad hoc method, whereas D'Alembert's principle is a more comprehensive solution. I understand that some teachers believe students are not savvy enough to appreciate such differences, but I think they are. In my own teaching, I would probably use both methods, thus showing how two different trains of reasoning can bring one to the same conclusion. But alas, I have not had occasion yet to teach anything about this problem yet. I just find it an interesting one, an interesting deficiency. A similar deficiency exists with the usual presentation of the pendulum problem, which likewise cannot be solved using Newton's method. Newton himself did a little bit of hand-waving in presenting his own solution.

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