University of Florida/Egm4313/s12.team8.dupre/R1.2
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R1.2[edit | edit source]
Problem Statement[edit | edit source]
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 | edit source]
Kinematics[edit | edit source]
(2-0)
Kinetics[edit | edit source]
(2-1)
Where[edit | edit source]
(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)