(a) A spring is stretched 10 cm by a force of 3 newtons

(a) A spring is stretched 10 cm by a force of 3 newtons (N). A mass of 2 kg is hung from the spring and is also attached to a viscous damper that exerts a force of 3 N when the velocity of the mass is 5 m/s. If the mass is pulled down 5 cm below its equilibrium position and given an initial downward velocity of 10 cm/s, determine its position y at any time t. Find the quasi-frequency ? and the ratio of ? to the natural frequency of the corresponding undamped motion. (b) Draw a phase portrait of the equivalent dynamical system that includes the trajectory corresponding to the initial value problem in part (a).