1. The problem statement, all variables and given/known data I need to accommodate a dashpot in an intentionally simple work-kinetic energy analysis method. For example, for a box being dragged up a ramp via a rope while attached to a spring, I can deal with the work done by gravity, rope tension, spring force, and friction via the following method, along with enough known constants and sufficient displacement and velocity boundary conditions? 2. Relevant equations KA+WNET=KB ... where A is the position of the box at the bottom of the ramp, and B is the position of the box at the top of the ramp. 3. The attempt at a solution For gravity, friction, spring, and tension this becomes... KA + ∫(mg)ds + ∫Tds + ∫(ks)ds + ∫μkFNds = KB The work terms for the dashpot are: ∫bvds = ∫b(ds/dt)ds = ∫b(ds/dt)(ds/dt)dt = ∫bv2dt Are any of these terms integrate-able if I'm limited to, again, only knowing displacement and/or velocity boundary conditions?