Designing a shock absorber A shock absorber must bear a
Chapter , Problem 19(choose chapter or problem)
Designing a shock absorber A shock absorber must bear a load of 250 kg (one-fourth the mass of the car). It is estimated that friction in the system can be modeled with a damping constant of c = 500 kg>s. a. Find the value of the spring constant that provides critical damping for the system. b. Solve the resulting differential equation subject to the initial conditions y102 = 0, y_102 = 0.1 that model a sudden jolt. c. Graph the solution in part (b). What is the maximum displacement of the car according to this model? d. Determine the effect of increasing the value of k in part (a) by 50% and by 100%. e. What is the effect of decreasing the value of k in part (a) by 50%?
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