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Mass_spring_damper

Mass_spring_damper - plot q 2 t and ¨ q 2 t Label your...

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Figure 1: Mass spring damper Mass spring damper problem. (1) Find the equations of motion for the mass spring damper system in Fig 1. Here q 1 is the position of the first mass while q 2 is the position of the second mass. (2) Find the six transfer functions from the input force u to q 1 , q 2 , ˙ q 1 , ˙ q 2 , ¨ q 1 , ¨ q 2 . (3) For u ( t ) = 12, find q 1 ( ), q 2 ( ), ˙ q 1 ( ), ˙ q 2 ( ), ¨ q 1 ( ), ¨ q 2 ( ). (4) For u ( t ) = δ ( t ) and u ( t ) = 12, use the impulse and step command in Matlab to
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Unformatted text preview: plot q 2 ( t ) and ¨ q 2 ( t ). Label your graphs. (5) Assume the input u ( t ) = δ ( t ), then use the residue command in Matlab to compute ¨ q 1 ( t ) and ¨ q 2 ( t ). Does any of the force due to the delta Dirac function δ ( t ) appear in the acceleration ¨ q 1 ( t ) or ¨ q 2 ( t ). 1...
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