Assignment:
Consider the system of Fig. When the support is fixed, y = 0, and the mass is allowed to vibrate freely, the ratio between two consecutive maximum displacement amplitudes is x2/xi = 0.8. On the other hand, when the mass is in equilibrium, the spring is compressed by an amount xst = 2.5 mm. The weight of the mass is mg = 100 N. Let y(t) = A cosωt, x(t) = X cos(ωt - φ) and plot X / A versus ω/ωn and φ versus capan for 0 < ω/ωn < 2.
Provide complete and step by step solution for the question and show calculations and use formulas.