PHYS 1P21 Lecture 47: Simple Harmonic Motion Problems
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PHYS 1P21 Full Course Notes
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Example: an object in simple harmonic motion has an amplitude of 6. 0 cm and a frequency of. Draw a position-time graph showing two cycles of the motion. It doesn"t really matter, so i"ll use a sine model. Because the amplitude is 6. 0 cm, the position-time graph looks like this: We just have to correctly label the horizontal axis now. We are given that the frequency is 0. 5. Thus, one complete cycle of the position-time graph takes 2. 0 s. We weren"t asked for a formula, but using the general formula we can write a specific formula for the position function of this motion: Example: some passengers on an ocean cruise may suffer from motion sickness as the ship rocks back and forth on the waves. Solution: this time i"ll use a cosine model; the reasoning would be the same for a sine model.