11-5 Damped Harmonic Motion Typically, harmonic motion decreases in amplitude with time….this realistic model describes damped harmonic motion. The damping.

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Presentation transcript:

11-5 Damped Harmonic Motion Typically, harmonic motion decreases in amplitude with time….this realistic model describes damped harmonic motion. The damping effect is a result of friction and internal resistance of the system to further motion. Overdamped means damping is so great that equilibrium takes longer to achieve. Underdamped means that a lack of damping causes the system to oscillate more freely and for longer… Critical damping means the system is damped to achieve equilibrium the quickest way.

11-6 Forced Vibrations: Resonance Natural frequency is the frequency that a system vibrates without interference… A forced vibration would be a vibration caused by an external force acting on a system. When damping is small, the amplitude is greatest at f=f 0 …this is called resonance. Natural frequency is also called resonant frequency.

11-7 Wave Motion Mechanical waves are waves that involve particles or media moving in wave-like fashion… usually easy to see or touch. Waves move at different velocities than the particles of the media in which they travel. See 11-9 p323 A pulse is a single wave that travels through a medium. Wavelength is the distance between identical points in 2 successive waves.

Wave Motion (cont’d) A continuous or periodic wave has repeating pulses in a consistent pattern. Amplitude = ½ height

Wave Motion (cont’d) Wave velocity = = f ( =c for light waves) See example P326

11-8 Types of Waves A transverse wave is one in which the medium or particles are moving perpandicular to the direction of the wave propagation. A longitudinal wave is one in which the medium or particles are moving in the same direction as wave propagation.

Waves (cont’d) A wave traveling down a solid rod … …where E is the elastic modulus… …where B is the bulk modulus for a gas or liquid. See Example11-11 page 328

Homework (…keep your hands off of the key board!!!) Page 342 pr# 17, 28-30, due BOP Thursday