In: Advanced Math
An object of 4 kg (assuming the acceleration of gravity g = 10 m / s2 ) suspended from a spring causes the spring to stretch 2 cm downwards. The object is moved 3 cm down from from its equilibrium position in the positive direction of movement, then it is released with speed zero initial. Assuming that there is no damping and that the object is under external force equal to:
20cos4(t) (N)
a) Formulate the initial value problem that describes the movement of the object.
b) Draw the graph of the solution
c) If the given external force is replaced by a force of 40sinw(t) (N) of frequency w find the value of w for which a resonance occurs.