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hw06-3723-06f - ECEN/MAE 3723 Systems I Fall 2006 Homework...

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ECEN/MAE 3723 Systems I Fall 2006 Homework Assignment #6 Problem 1 : Obtain the equivalent spring constant k eq for the spring system and the equivalent viscous-friction (damping) coefficients b eq for the damper system shown below. Problem 2 : A ball is dfropped from a point 100m above the ground with an initial velocity of 20m/s. How long will it take the ball reaches the ground? Problem 3 : Derive the equation of motion for the system shown below (Do not solve.). Problem 4 : Derive the equation of motion for the system shown below (Do not solve.). Problem 5 : For the mechanical system shown below, m k b y = y f t u t = = = = = 2 12 10 0 0 0 0 4 kg N m N s m, ( ) N , / , / , & ( ) , ( ) ( ) . a) Derive the equation of motion. b) Find and sketch y(t).
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