# HWCE_1 - y F u x c Find a transfer function G(s relating...

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Assignment for HW/CE#1, due Tuesday, September 8, 2009. 1. Consider Figure 2,35 on page 63 of Franklin’s text. Assume a horizontal force F acting on the left mass m as shown below: F a) Write the equations of motion for the system of pendulums making assumptions as per problem 2.3 in Franklin’s text but including the above horizontal force. b) Find matrices F, G, H, and scalar J for a state variable description of the system where 2 2 1 2 1 and

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Unformatted text preview: y F u x c) Find a transfer function G(s) relating the output y to the input F , i.e. ) ( ) ( ) ( 2 s F s s G 2. Find f(t) using partial fraction expansions for each of the following Laplace transforms 4 1 ) ( c) ) 29 4 ( ) 6 ( 8 ) ( b) ) 12 8 ( 10 ) ( a) 2 2 2 s s F s s s s s F s s s s F 3. Work problem 3.20b on page 154 in Franklin’s text....
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