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Unformatted text preview: Chapter 13 Periodic Motion Units of Chapter 13 imple Harmonic Motion nergy in the Simple Harmonic Oscillator he Period and Sinusoidal Nature of SHM he Simple Pendulum amped Harmonic Motion orced Vibrations; Resonance 131 Simple Harmonic Motion If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is called periodic. The mass and spring system is a useful model for a periodic system. 131 Simple Harmonic Motion We assume that the surface is frictionless. There is a point where the spring is neither stretched nor compressed; this is the equilibrium position. We measure displacement from that point ( x = 0 on the previous figure). The force exerted by the spring depends on the displacement: 131 Simple Harmonic Motion • The minus sign on the force indicates that it is a restoring force – it is directed to restore the mass to its equilibrium position. • k is the spring constant • The force is not constant, so the acceleration is not constant either 131 Simple Harmonic Motion • Displacement is measured from the equilibrium point • Amplitude is the maximum displacement • A cycle is a full backandforth motion; this figure shows half a cycle • Period is the time required to complete one cycle • Frequency is the number of cycles completed per second 131 Simple Harmonic Motion f the spring is hung ertically, the only change s in the equilibrium osition, which is at the oint where the spring orce equals the ravitational force. 131 Simple Harmonic Motion...
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 Spring '10
 Nash
 Physics, Energy, Force, Simple Harmonic Motion

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