5. The governing differential equation of the given mass-spring-damper system is as follows: mx "+cx '+kx = f (t), where “m”, “c”, and “k” denote the mass, damping coefficient, and spring stiffness, respectively. Suppose that the natural angular frequency of system is co=√k/m=1 rad/s, the damping ratio of the system is 2mw -=1, and the mass is 1Kg. The mass is subjected to a sinusoidal pulse force as shown in the figure below. Given the mass is at rest at t=0 sec, find x(t). x(t) m F(t) 1.0 F(t) 1=1/2