Pset2 - s X s Y s X input G 1 s output s Y s E G 2 s P s(OVER Massless rod L=6m Joint(frictionless L/3 2L/3 Spring constant K=300 N/m Point mass m

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ME3015 Fall 2011 PROBLEM SET #2 (25 points). Document as outlined in the course admin letter. Due: The beginning of Lesson 6 ( September 12th ). 1. (6 points) Solve the following differential equation of motion using Laplace Transform Techniques: 0 ) 0 ( , 5 ) 0 ( 0 4 x x x x 2. (6 points) Find the natural frequency for the pendulum shown below. Assume that the horizontal posture of the pendulum in the figure is already in static equilibrium . Assume small angle of motion. 3. (7 points) Simplify the following block diagram and find the transfer function
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Unformatted text preview: ) ( / ) ( s X s Y ) ( s X input G 1 ( s ) output ) ( s Y-+ ) ( s E G 2 ( s ) P ( s ) + + (OVER) Massless, rod, L=6m Joint (frictionless) L/3 2L/3 Spring constant: K=300 N/m Point mass m : weight=10kg Gravity: m g 4. Determine scalar parameters a and b such that one of the poles of the simplified transfer function from X (s) to Y (s) is -1 where s s G 2 1 ) ( 1 and s s G 1 ) ( 2 . ) ( s X input output ) ( s Y-+ G 1 ( s ) G 2 ( s )-+ a b...
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This note was uploaded on 02/08/2012 for the course ME 3015 taught by Professor Ueda during the Fall '08 term at Georgia Institute of Technology.

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Pset2 - s X s Y s X input G 1 s output s Y s E G 2 s P s(OVER Massless rod L=6m Joint(frictionless L/3 2L/3 Spring constant K=300 N/m Point mass m

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