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.
the simple harmonic motion of a body m moving under the influence of an elastic restoring force, as shown in figure 13.2. The position of P on the x-axis and hence the position of the mass m is described in terms of the point Q and the angle θ found in figure 13.3(a) as x = A cos θ (13.6) Here A is the amplitude of the vibratory motion and …
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