Acar and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 n m, which is damped when moving in the vertical direction by a damping force famp =-rý, where y is the 1200 kg sitting 4. (a) damping constant. if y is 90% of the critical value; what is the period of vertical oscillation of the car? () by what factor does the oscillation amplitude decrease within one period? ( how long does it takes for the amplitude to decrease by a factor of 1000? (50 marks) a harmonic oscillator with mass of 1 kg and a spring constant of 8.75 n m (b) is subject to a damping force fmp =-y, with y=6 kg s. the system is in equilibrium (x = 0) at time t= (0)=-45 cm s. determine the displacement x(t) and velocity (t) thereafter