In the absence of damping, the motion of a springmass system satisfies the initial
Chapter 3, Problem 30(choose chapter or problem)
In the absence of damping, the motion of a springmass system satisfies the initial valueproblemmu + ku = 0, u(0) = a, u(0) = b.(a) Show that the kinetic energy initially imparted to the mass is mb2/2 and that thepotential energy initially stored in the spring is ka2/2, so that initially the total energy inthe system is (ka2 + mb2)/2.(b) Solve the given initial value problem.(c) Using the solution in part (b), determine the total energy in the system at any time t.Your result should confirm the principle of conservation of energy for this system.
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