# TEST 1 - TEST 1 ME3514 Fall 2007 Print Name Pledge “I...

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Unformatted text preview: TEST 1: ME3514; Fall 2007 Print Name: ___________________________ Pledge: “I have neither given or received aid on this test” Pledge Signature: ________________________________ INSTRUCTIONS: All problems equally weighted. Six will be graded for test (i.e. 16.67 points each). The problem with the worst cumulative grade will be Extra Credit. 1. Solve the following equation using the Laplace Transform Method. Write X(s) and x(t) in spaces provided. d 2 x/dt 2 + 5 dx/dt + 4x = 0 x(0) = 0.0 dx/dt (0) = 2.0 X(s) = _______________________________________ x(t) = ________________________________________ 2. Find the Inverse Laplace Transform for each of the following: a) 2 ) 2 )( 1 ( 2 4 ) ( + + + = s s s s F b) ) ( 1 ) ( 2 2 2 n s s s X ω + = c) 2 4 . 3 2 ) ( s s s X + = a) f(t) = ___________________________________________ b) x(t) = ___________________________________________ c) x(t) = ___________________________________________ 3. Write the Equation of Motion (EOM) and find the natural frequency (...
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TEST 1 - TEST 1 ME3514 Fall 2007 Print Name Pledge “I...

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