Suppose that a car weighing 4000 pounds is supported by four shock absorbers each shock absorber has a spring constant of 6500 ibs/foot, so the effective spring constant for the system of 4 shock absorbers is 26000 lbs/foot damping and determine the period of oscillation of the vertical motion of the car. hint: g= 32 ft/sec2 1. assume no t = 0.436 seconds 2. after 10 seconds the car body is 1/3 foot above its equilibrium position and at the high point in its cycle. what were the initial conditions? ft/sec y(0) 0.317 ft. and y'(0) -1.481 x 3. now assume that oil is added to each the four shock absorbers so that, together, they produce an effective damping force of - 6.93 lb-sec/ft times the vertical velocity of the car body. find the displacement y() from equilibrium if y(0) 0 ft and _ y'(0)= -10 ft/sec y4.41e0027'sin(3.8t + t) | x