Assignment 1 MENG 375 - Fall 2011

Assignment 1 MENG 375 - Fall 2011 - formulation when...

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2011 th 28 September Prof. Dr. Maki K. Habib THE AMERICAN UNIVERSITY IN CAIRO SCHOOL OF SCIENCES AND ENGINEERING MECHANICAL ENGINEERING DEPARTMENT MENG 375 System Dynamics Fall 2011 Assignment # 1 (Distributed September 28 th , Due time Oct. 6 th ) The final grade of each assignment will be normalized out of 10 1 Find the LAPLACE of the following functions (10 marks for each): (Show the solutions in a conventional step by step solution without using table) a) t te t t f 10 3 2 ) 30 10 sin( ) ( b) t t f 9 sin 6 ) ( 2 c) 2 ) 2 3 2 ( 9 ) ( t t f 2 Obtain LAPLACE transform of f(t ) (write the proper mathematical
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Unformatted text preview: formulation when answering) 15 marks for each): (a) (b) Periodical function 3. Find the inverse LAPLACE of (5 marks for each) : a) 6 2 6 ) 40 5 )( 12 4 ( 60 20 ) ( s s s s s F b) 2 ) 3 )( 2 ( 25 ) ( s s s s F c) ) 20 6 ( 15 ) ( 2 s s s F 4. Solve the differential equation (12.5 marks for each): a) t e x x 5 2 2 5 1 ) ( , 3 ) ( x x b) 12 32 8 x x ) ( , ) ( x x...
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