{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

me375_fa10_hwk05

# me375_fa10_hwk05 - ME 375 Fall 2010 Homework No 5 Due...

This preview shows pages 1–2. Sign up to view the full content.

ME 375 – Fall 2010 Homework No. 5 Due: Friday, October 1 Problem No. 1 (40%) A force f t ( ) = f 0 u t ( ) is applied to block A of the two-DOF system shown above. Assume all surfaces to be smooth and that the springs are unstretched when x 1 = x 2 = 0 . For this system: a) Derive the EOMs in terms of the coordinates x 1 and x 2 . b) Develop the transfer function G s ( ) = X 2 s ( ) / U s ( ) corresponding to an output of x 2 t ( ) and an input of u t ( ) . c) Determine the four poles p 1 , p 2 , p 3 , p 4 ( ) of the transfer function in b). Plot these poles in the complex plane. Use m = 1 kg and k = 100 N / meter . d) Based on the poles found in c) above, classify the stability of the system (unstable, stable or marginally stable). e) Suppose that we are interested in the forced response of x 2 t ( ) for an input of u t ( ) = ! t ( ) = unit impulse function . With this input, we know that the partial- fraction expansion of the response x 2 t ( ) can be written as: x 2 t ( ) = A 1 e p 1 t + A 2 e p 2 t + A 3 e p 3 t + A 4 e p 4 t . Based on the poles found in c), provide a qualitative description of these components of this response. Address the following

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}