# 11-5 Damped Harmonic Motion PowerPoint Presentation

2016-10-07 101K 101 0 0

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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: 472474

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Slide1

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.

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

A

pulse

is a single wave that travels through a medium.

Wavelength

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 height

Slide5

Wave Motion (cont’d)

Wave velocity =

n

=

l

f (

n

=c for light waves)

See example 11-10 P326

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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

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

Slide8

Homework (…keep your hands off of the key board!!!)

Page 342 pr# 17, 28-30, 34-40 due BOP Thursday

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