Figure below shows a schematic diagram of seat suspension system. a) Derive the equations of motion...

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Figure below shows a schematic diagram of seat suspension system. a) Derive the equations of motion for a quarter car suspension system using an appropriate free body diagram. The system must be at least a 2nd order system. Assume that the Force u is the input to the system and the vertical motion Y of the body and is the output, obtain the transfer function Y(s)/Z(s). b) Based on your answer in (b), derive the state equations, output equation and represent those equations in a matrix form. Driver mass, ₂ www www C b₂ Seat mass, ₁ 2₂ Driver displacement Seat suspension Seat displacement Z(1) Cabin floor displacement Figure below shows a schematic diagram of seat suspension system. a) Derive the equations of motion for a quarter car suspension system using an appropriate free body diagram. The system must be at least a 2nd order system. Assume that the Force u is the input to the system and the vertical motion Y of the body and is the output, obtain the transfer function Y(s)/Z(s). b) Based on your answer in (b), derive the state equations, output equation and represent those equations in a matrix form. Driver mass, ₂ www www C b₂ Seat mass, ₁ 2₂ Driver displacement Seat suspension Seat displacement Z(1) Cabin floor displacement

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Here are the steps to solve this problem a Equations of motion using free body ... View the full answer