Structure and Interpretation of Classical Mechanics
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Show by direct calculation that the Lagrange equations for are satisfied if the Lagrange equations for
are satisfied.
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Equation (1.69):
Equation (1.70):
Equation (1.71):
The Lagrange equation:
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Since it is just a coordinate transformation ,
has no explicitly dependent on
. Similarly, if we consider the coordinate transformation
,
has no explicitly dependent on
. So
.
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— Me@2020-12-28 04:03:24 PM
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2020.12.28 Monday (c) All rights reserved by ACHK