PHY354H1 Lecture Notes - Angular Frequency, Unit Vector, Scientific Notation

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17 Jan 2014
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Kinematics of oscillations: readings: supplementary notes handout. The wikipedia entry for com- plex numbers isn"t bad either: kinematics of oscillatory motion and sinusoidal motion. Oscillations - the basics: an oscillation is a motion that is periodic in time. They can be very simple (like a sine func- tion), or much more complicated (draw square wave function and more complicated oscillations: we will begin our study of oscillations by working with sine and cosine functions. I won"t prove this now, but we will study this later in the semester. For now, you should keep in mind that any oscillation can be considered a linear combination of sines and cosines. Using sines and cosines to study oscillations: we know that sine and cosine functions are periodic with period 2 : sin = sin( + 2 ) = sin( + 4 ) = . (1) 1: to relate sin to a time-periodic function, de ne the phase:

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