Transcription of Chapter 13 Simple Harmonic Motion - …
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Chapter 13 Simple Harmonic Motion - …
Chapter 13 Simple Harmonic Motion We are to admit no more causes of natural thingsthan such as are both true and sufficient to explaintheir appearances. Isaac Introduction to Periodic MotionPeriodic Motion is any Motion that repeats itself in equal intervals of time. Theuniformly rotating earth represents a periodic Motion that repeats itself every 24hours. The Motion of the earth around the sun is periodic, repeating itself every 12months. A vibrating spring and a pendulum also exhibit periodic Motion . The periodof the Motion is defined as the time for the Motion to repeat itself. A special type ofperiodic Motion is Simple Harmonic Motion and we now proceed to investigate Simple Harmonic MotionAn example of Simple Harmonic Motion is the vibration of a mass m, attached to aspring of negligible mass, as the mass slides on a frictionless surface, as shown infigure We say that the mass, in the unstretched position, figure (a), is inits equilibrium position.
Figure 13.1 The vibrating spring. Equation 13.2 is the defining equation for simple harmonic motion. Simple harmonic motion is motion in which the acceleration of a body is directly proportional to its displacement …
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