t sometimes occurs that the generalized coordinates appear separately in the kinetic energy and the potential energy in such a manner that T and V maybe written in the form T =∑i fi(qi) ˙qi2 and V = ∑i Vi(qi) Show that Lagrange’s equations then separate, and that the problem can always be reduced to quadratures.
t sometimes occurs that the generalized coordinates appear separately in the kinetic energy and the potential energy in such a manner that T and V maybe written in the form T =∑i fi(qi) ˙qi2 and V = ∑i Vi(qi) Show that Lagrange’s equations then separate, and that the problem can always be reduced to quadratures.
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It sometimes occurs that the generalized coordinates appear separately
in the kinetic energy and the potential energy in such a manner that T and
V maybe written in the form
T =∑i fi(qi) ˙qi2 and V = ∑i Vi(qi)
Show that Lagrange’s equations then separate, and that the problem can
always be reduced to quadratures.
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