Instructions: You are required to write a report following proper format and show all derivation…

Instructions: You are required to write a report following proper format and show all derivation of your solutions. PROBLEM STATEMENT:Consider an automobile traveling over a rough road at a speed of v km/hr. The suspension system has a spring constant of 40 kN/m and a damping ratio of 0.1. The road surface varies sinusoidally with an amplitude of Y= 0.04 m and a wavelength of 5m. Find the displacement amplitude of the automobile for the following conditions: (a) mass of the automobile = 600 kg (empty), 1000 kg (loaded) (b) Velocity of the automobile (v): 10 km/hr, 50 km/hr, 100 km/hr. Find

Instructions: You are required to write a report following proper format and show all derivation of your solutions. PROBLEM STATEMENT:Consider an automobile traveling over a rough road at a speed of v km/hr. The suspension system has a spring constant of 40 kN/m and a damping ratio of 0.1. The road surface varies sinusoidally with an amplitude of Y= 0.04 m and a wavelength of 5m. Find the displacement amplitude of the automobile for the following conditions: (a) mass of the automobile = 600 kg (empty), 1000 kg (loaded) (b) Velocity of the automobile (v): 10 km/hr, 50 km/hr, 100 km/hr. Find the transmitted force to/from the vehicle for each of the cases. Also, find the force experienced by the automobile due to base motion. In your calculations of the difference cases, you can use a MATLAB or excel.

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