Consider a block of mass m on the end of a massless spring of spring constant k and equilibrium length xo, sitting on a frictionless inclined plane at angle a relative to the horizontal, as shown in the figure.k, хоm(a) In terms of the generalized coordinate x as shown in the figure, what is the Lagrangian?(b) What are Lagrange's equations for this system in terms of x?(c) Is the energy of the system conserved? Why or why not?(d) What is the Jacobi integral of the system in terms of x? Is it the same as the total energy? Is it conserved? Why?

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