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lecture_20 (dragged) 2 - MA 36600 LECTURE NOTES WEDNESDAY...

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MA 36600 LECTURE NOTES: WEDNESDAY, MARCH 4 3 Newton’s Second Law of Motion states that F = m a . That is, m u = sum of forces = F g + F s + F d + F e = m g k ( L + u ) γ u + F ( t ) Since m g k L = 0, we can rewrite this as m u k u γ u + F ( t ) = m u + γ u + k u = F ( t ) . Hence the position u = u ( t ) satisfies a linear second order di ff erential equation. Note that in general, if we
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