Consider the horizontal bar, pulley, and mass single- dof system shown in the figure. System is excited by y(t)= Asin(wt) from its equilibrium position starting at t= 0. Assume small oscillations. Treat pulley as a uniform disc with mass, ma and radius r. Use m = 1kg, L=1m, ma = 0.25kg, r = 0.1m, m = 1kg, k = 10N /m, k = 20N/ m, c = 10Ns/m. (a) What is resonance frequency, Wres, of this system? (b) If A 0.1m w 10 rad/s, what is the amplitude of x (t) for mass m? (c) Using the excitation amplitude and the frequency from part (b), find the steady- state solution for x(t). m, L zwe 1/2 L/2 DO m2 www x(t) -y(t)