University of Florida/Egm4313/s12.team8.dupre/R1.2

R1.2

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Problem Statement

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Derive the equation of the spring-mass-dashpot in Fig.53 (shown above) in K 2011 p.85, with an applied force   on the ball.

Solution

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Kinematics

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  (2-0)

Kinetics

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  (2-1)

Where

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  (2-2) and   (2-3)

Plugging into (2-1) gives us:   (2-4)

Using (2-0) and substituting into (2-4), we find that the final equation of motion for the spring-mash-dashpot is:

   (2-5)