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Engineering · Mechanical Engineering
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5. Fig. 5a shows a simplified model of a motor vehicle that can vibrate in the vertical direction while traveling over a rough road. The vehicle has a mass of 1200 kg. The suspension system has a spring constant of 400 kN/m and a damping ratioof (a) 0.5 Assume that the road surface profile can be approximated by a sinusoidal function with an amplitude of 0.05 m and a period of 6 m. One from the following two relationships may be useful (you must choose the appropriate one) If the vehicle speed is 100 km/h, produce the following: (0 Sketch a representative single degree of freedom model of the system, clearly (6 marks) (7 marks) identifying the x and y coordinates and writing the excitation function. (i) Determine the displacement amplitude of the vehicle. (b) Consider the spring-mass arrangement system shown in Fig 5b. Produce the following (i) The equivalent spring stiffness when the five spring system is reduced to an (i equivalent single spring system (8 marks) (4 marks) The expression for the natural frequency of the system. → 100 km/hr ks One cycle Fig. 5a Fig. 5b

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