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which the Lagrangian is I = mc² (1-√√1-B²) - = kx² where B
a) Obtain the Lagrange equation of motion. b) Show that the
2 1
equation of motion can be integrated to yield E = mc² + = k
where E is the total energy of the oscillating particle and a is its
maximum displacement from the equilibrium position.
+ ½ ka ²

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