11-5 Damped Harmonic Motion PowerPoint Presentation
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.. ID: 472474Embed code:
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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.
means damping is so great that equilibrium takes longer to achieve.
means that a lack of damping causes the system to oscillate more freely and for longer…
means the system is damped to achieve equilibrium the quickest way.Slide2
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=f0 …this is called resonance.Natural frequency is also called resonant frequency.Slide3
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
is a single wave that travels through a medium.
is the distance between identical points in 2 successive waves.Slide4
Wave Motion (cont’d)
A continuous or periodic wave has repeating pulses in a consistent pattern.Amplitude = ½ heightSlide5
Wave Motion (cont’d)
Wave velocity =
=c for light waves)
See example 11-10 P326Slide6
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.Slide7
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 328Slide8
Homework (…keep your hands off of the key board!!!)
Page 342 pr# 17, 28-30, 34-40 due BOP ThursdaySlide9Slide10Slide11Slide12Slide13Slide14