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Unformatted text preview: Section 7.5 Simple Harmonic Motion In this section, we define Simple Harmonic motion, and we give some practical applications of SHM. One should note that SHM is vibratorytype motion along a straight line. A typical example of SHM is exhibited by a vertically bobbing weight suspended by a spring. Additionally, SHM describes the motion of waves, pendulums, and tuning forks. Simple harmonic motion is linear motion of an object where the objects acceleration, a , is directly proportional to the negative of the objects displacement, d , from its rest position, i.e., a = kd , where k > 0 is constant. Note: In SHM problems, Newtons Second Law, F = ma (force = mass times acceleration), is frequently used to give the SHM formula a = kd . Although SHM is linear motion, SHM can be described as the projection of rotary motion. We indicate this approach to SHM in the next discussion which utilizes to following diagram. If P ( x, y ) is a point on a circle (cf. above diagram) and P ( x, y ) moves around the circle at constant speed , then the x and...
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 Fall '11
 Kutter
 Algebra

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