Solved: This problem deals with a mass m on a spring (with

Chapter 4, Problem 4.6.15

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This problem deals with a mass m on a spring (with constant k) that receives an impulse Po = mvo at time t = O. Show that the initial value problems and mx" + kx = 0; x(O) = 0, x'(O) = vo mx" + kx = Poo(t); x(O) = 0, x'(O) = 0 have the same solution. Thus the effect of Poo(t) is, indeed, to impart to the particle an initial momentum PO .

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