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An automobile is modeled as a lumped mass m with input from the road via a suspension system that consists of a linear spring and a linear viscous dashpot, as shown in the figure on the right. Assume that the automobile travels at a constant speed V over a road whose roughness is a known function ug(x). Determine the equation of motion for the vertical motion of the mass.

An automobile is modeled as a lumped mass m with input from the road via a suspension system that consists of a linear spring and a linear viscous dashpot, as shown in the figure on the right. Assume that the automobile travels at a constant speed V over a road whose roughness is a known function ug(x). Determine the equation of motion for the vertical motion of the mass.

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Question 5: An automobile is modeled as a lumped mass m with input from the road via a suspension system that consists of a linear spring and a linear viscous dashpot, as shown in the figure on the right. Assume that the automobile travels at a constant speed V over a road whose roughness is a known function u g ( x ) . Determine the equation of motion for the vertical motion of the mass.

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