User:Egm4313.s12.team8.kyle/R1.3

=R1.3=

Problem Statement:
For the spring-dashpot-mass system on p.1-4, draw the FBDs and derive the equation of motion (2) on p.1-4.

Solution:
Break the system into its three components: spring, dashpot, and mass.



Derivation of Equation of Motion
Looking at the FBD of the mass, $$f_I$$ represents the internal forces in the system from both the spring and dashpot. $$my''$$ represents the inertial force of the mass. $$f(t)$$ represents the excitation on the spring-dashpot-mass system. Summing the forces on this FBD yields the desired equation of motion for the mass, $$my''+f_{I}=f(t)$$