University of Florida/Egm4313/s12.team6.hill/R1

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Problem 1: Spring-dashpot system in parallel[edit]

Derive the equation of motion of a spring-dashpot system in parallel, with a mass and applied force


Given[edit]

Spring-dashpot system in parallel

Solution[edit]

The kinematics of the system can be described as,

The kinetics of the system can be described as,

and,

Given that,


From (1), it can be found that,

and,

From (3), it can be found that,

Finally, it can be found that