A mass of 10 kgs hangs from a spring with spring constant k = 136, and is attached to a viscous damper that exerts a force of 8 N when the velocity of the mass is 2 m/s. %3D (a) Find the function u(t) that describes the motion of the mass if it is pulled 2O cms down from its equilibrium and released. (b) Find the function v(t) that describes the motion of the mass, if starting at equilibrium, it is acted on by an external force F(t) = 6cos(4t). What is the amplitude of the steady state solution?

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