Jump to content

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

From Wikiversity

Problem 1: Spring-dashpot system in parallel

[edit | edit source]

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


Given

[edit | edit source]

Spring-dashpot system in parallel

Solution

[edit | edit source]

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