1. Suppose that a car weighing 4000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6500lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 26000 lbs/foot.1. Assume no damping and determine the period of oscillation of the vertical motion of the car. Hint: g= 32 ft/sec².T= 0.436seconds.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 initialconditions ?y(0) = 0.317ft. and y'(0) = -1.481ft/sec.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(t) from equilibrium if y(0)=0 ft andy'(0)=-10 ft/sec.-0.027t sin (3.8t+n) ×y(t) = 4.41e

Given,weight of the car, the spring constant of the shock absorber, 1. the period of…

Answered: 1. Suppose that a car weighing 4000…

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1. Suppose that a car weighing 4000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6250 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 25000 lbs/foot. 1. Assume no damping and determine the period of oscillation of the vertical motion of the car. Hint: g= 32 ft/sec². T = 0.44 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 ? y(0) = 0.16239 X ft. and y'(0) = 2.849 X ft/sec. 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(t) from equilibrium if y(0)=0 ft and y(0)= -10 ft/sec. y(t) =