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

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R1.2[edit]

Problem Statement[edit]

FBD1 R1.2a.jpg

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[edit]

Kinematics[edit]

(2-0)

Kinetics[edit]

(2-1)

Where[edit]

(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)