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ME429 Fall 2009 HW1

# ME429 Fall 2009 HW1 - i Î = 1 ii Î = 2 b plot both response...

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Assigned on 05.10.2009 Monday Due date 12.10.2009 Monday, beginning of the lecture ME429 Fall 2009 HW1 You are expected to provide clear explanation of each step in your solution, units, well annotated scaled plots (title, axis labels, units, ..), not random hand sketches, source code attached to your solution if you use a software package. 1) A mechanical system consists of an elastic spring with a constant of 250 N/m supporting a 2 kg mass. The mass is given an initial velocity of 5 m/s in the direction of positive displacement. For this system a) determine the response, x(t) of the system for
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Unformatted text preview: i) Î¶ = 1 ii) Î¶ = 2 b) plot both response curves on the same displacement vs. time graph for 0 â‰¤ t â‰¤ 2 s. 2) Responses of a SDOF system to different forcings ( ( ) 1 f t , ( ) 2 f t , ( ) 3 f t , ( ) 4 f t ) at the same frequency are given as follows: ( ) ( ) ( ) ( ) ( ) Ï€ = = -=-= -1 2 3 3 3cos20 4sin20 1.5sin 20 6 2cos20 x t t x t t x t t x t t Find the response of the same system subjected all forcings simultaneously. (Use complex functions in your solution â€“ any other solution will not be credited)...
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