An object of 4 kg (assuming the acceleration of gravity g = 10 m/ s2 ) suspended from a spring causes the spring to stretch 2 cmdownwards. The object is moved 3 cm down from from its equilibriumposition in the positive direction of movement, then it is releasedwith speed zero initial. Assuming that there is no damping and thatthe object is under external force equal to:
20cos4(t) (N)
a) Formulate the initial value problem that describes themovement of the object.
b) Draw the graph of the solution
c) If the given external force is replaced by a force of40sinw(t) (N) of frequency w findthe value of w for which a resonance occurs.
