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Unformatted text preview: 1 Chap 15 Oscillations Note – this is an outline of the lecture, print this and take notes on it in lecture It is not the and take notes on it in lecture. It is not the complete lecture. You should attend lecture to get the complete notes Images taken from Halliday/Resnick/Walker, Fundamentals of Physics, 7 th Edition, John Wiley and Sons Inc., by permission. Hints P11: Start by writing down Newton’s 2 nd law (it will involve two kx terms and note that they will not cancel). P26: find the effective spring constant of two springs connected in series. Use this to solve problem P43a. You will find the parallel axis theorem helpful in calculating I . Both the disk and rod contribute to I . P96. Use the fact that the initial PE is equal to the kinetic energy (translational + rotational) in equilibrium. [m] unit : x Amplitude m Simple Harmonic Motion ( ) ( ) φ ω + = t x t x m cos f f T Hz Hertz f π ω ω 2 , 1 ] [ ] : : = = = [seconds] unit : T Period unit[ Frequency [rad/s] unit frequency Angular Simple Harmonic Motion ( ) ( ) φ ω + = t x t x m cos Velocity, acceleration and SHM ( ) ( ) ( ) ( ) ( ) φ ω ω φ ω + − = = + = t x dt t dx t v t x t x m m sin cos ( ) ( ) ( ) φ ω ω + − = = t x dt t dv t a m sin 2 What is Force Law for Simple Harmonic Motion? What is Force Law for Simple Harmonic Motion?...
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 Spring '08
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