lecture33[1]

# lecture33[1] - 1 Simple Harmonic Motion Serway Chapter 15.1...

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Unformatted text preview: 1 Simple Harmonic Motion Serway Chapter 15.1, 15.2 Practice: Chapter 15, problems 5, 7, 11 Motion in the real world may not fit some of our earlier models (linear or circular motion, uniform acceleration). Many phenomena are repetitive or oscillatory . Example: Block and spring M Oscillatory Motion 2 M Equilibrium: no net force M The spring force is always directed back towards equilibrium. This leads to an oscillation of the block about the equilibrium position. M For an ideal spring, the force is proportional to displacement . For this particular force behaviour, the oscillation is simple harmonic motion. x F = -kx Simple Harmonic Motion t x ( t ) t A t x ω cos ) ( = In Simple Harmonic Motion (SHM), the displacement is a sinusoidal function of time, e.g., : t A t x ω sin ) ( = or Question : Is a bouncing ball described by SHM? 3 t x ( t ) Three constants specify the motion: Amplitude, A : maximum displacement from the centre Angular Frequency, ω Initial phase (or phase constant),...
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lecture33[1] - 1 Simple Harmonic Motion Serway Chapter 15.1...

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