Periodic Motion

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# Periodic Motion - PowerPoint PPT Presentation

Periodic Motion. Recall that. Using the fact that the maximum displacement is A , the work energy theorem states. Solving for the velocity, get. Using the solution for position, the velocity becomes. Graphical Interpretation. Importance of Periodic Motion.

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## Periodic Motion

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Presentation Transcript
Periodic Motion
• Recall that
• Using the fact that the maximum displacement is A, the work energy theorem states
Solving for the velocity, get
• Using the solution for position, the velocity becomes
Importance of Periodic Motion
• All atomic and molecular bonds can be approximated by springs
• All signals can be decomposed into sets of periodic motions
• Non periodic motion can also be decomposed into sets of periodic motions
Simple Pendulum
• Newton’s second law yields
For small angles, sinq ~ q
• Recall that q = x/r, a = a/r, so
• Comparing with Hooke’s Law, see that