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Vibrating Systems Simple Harmonic Motion The Ideal Mass: The motion of an ideal mass is unaffected by friction or any other damping force. The ideal mass is completely rigid. By Newton's Second Law: The Ideal Spring: The ideal spring has no mass or internal damping. Hooke's Law: (valid for small, non-distorting displacements) The spring's equilibrium position is given by . A positive value of produces a negative restoring force. The Ideal Mass-Spring System: Figure 1: An ideal mass-spring system. System equation: This second-order differential equation has solutions of the form . is the characteristic (or n
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submitted by edison (4593 m) on 7 May 2007 11:32:05 IST (2 comments 387 views)
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