A particle of mass m moves in one dimension such that it has the Lagrangian L = (m2 x˙4 )/12 + m x˙2 V(x) − V2(x), where V is some differentiable function of x. Find the equation of motion for x(t) and describe the physical nature of the system on the basis of this equation.
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A particle of mass m moves in one dimension such that it has the Lagrangian
L = (m2 x˙4 )/12 + m x˙2 V(x) − V2(x),
where V is some differentiable function of x. Find the equation of motion
for x(t) and describe the physical nature of the system on the basis of this
equation.
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