Question 9An object of mass 1 (kg) stretches a spring and is set in motion from a certain position. Thedamping constant of the spring is 2 (N s/m), and the spring constant in Hooke's law is5 (N/m). During the motion there is an external force f(t) (N) acting on the mass such thatf(t) = Acos(w(t – ø)). Then the displacement y = y(t) of the object from the equilibriumposition satisfiesy" + 2y' + 5y = Acos(w(t – ¢)).(a) Find the general solution of y when A = 1, w = 1 and ó = 0.(b) Find the general solution of y when A = 1, w = 2 and ø = 5.(c) If the damping constant is 0, then for what values of A, w and o does resonance occurin the system? Justify your answers.

Given:masss of the object, m = 1 kgdamping constant , b = 2 Ns/mspring constant, k = 5 N/mexternal…

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