MT-1620 Fall 2002 2nd order = need 2 Initial Conditions Here @t=0q=q0 some initial values given( may often be zero) q=q0 Will look at how to solve this in the next unit There is another consideration that generally occurs in real systems DAMPING For the spring-mass system, this is represented by a dashpot with a constant c which produces a force in proportion to the velocity Figure 19.12 Representation of spring-mass system with damping k[Force/length] c [Force/length/time Paul A Lagace @2001 Unit 19-12MIT - 16.20 Fall, 2002 2nd Order ⇒ need 2 Initial Conditions Here: t = 0 q = 0 q ˙ = 0 @ some initial values given (may often be zero) Will look at how to solve this in the next unit. There is another consideration that generally occurs in real systems -- DAMPING. For the spring-mass system, this is represented by a dashpot with a constant c which produces a force in proportion to the velocity: Figure 19.12 Representation of spring-mass system with damping [Force/length] [Force/length/time] q q ˙ Paul A. Lagace © 2001 Unit 19 - 12