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# Simple Harmonic Motion - PowerPoint PPT Presentation

Simple Harmonic Motion. Periodic motion that has a restoring force that is proportional to its displacement Back and forth motion (repetitive motion) Springs, Pendulums, Waves. Types of SHM. Springs Hooke’s Law – F = - kx PE = ½kx 2 Period (T) = 2 m/k. Pendulums Period (T) = 2 L/g.

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## PowerPoint Slideshow about 'Simple Harmonic Motion' - bessie

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Presentation Transcript

• Periodic motion that has a restoring force that is proportional to its displacement

• Back and forth motion (repetitive motion)

• Springs, Pendulums, Waves

Springs

• Hooke’s Law – F = -kx

• PE = ½kx2

• Period (T) = 2m/k

Pendulums

• Period (T) = 2L/g

• Carry energy

• Pulse – a single disturbance of a wave

• Transverse vs. Longitudinal

• Mechanical vs. Electromagnetic

Transverse vs. Longitudinal

• T – energy and movement are perpendicular

• Example – the “wave” done by sports fans during an event

• L– energy and movement are parallel

• Example – a mosh pit

Mechanical vs. Electromagnetic

• M – requires a medium(source) in order to travel

• Example - sound

• E – does NOT require a medium to travel

• Example - light

• Wavelength – distance from one area to the next corresponding area on a wave

• Frequency – the number of waves that pass a point in a certain amount of time

• Amplitude – the amount of energy carried by the wave (E is proportional to A2)

• Speed – how fast a wave moves = its determined by the MEDIUMin which the wave travels

• Speed = distance = wavelength * frequency

time

• When a wave enters a new medium, the wavelength changes while the frequency stays the same

SuperpositionThe combining of two or more waves

Constructive Interference

• All the waves are going in the same direction and are in sync with one another

Destructive Interference

• All the waves are NOT in the same direction and are NOT in sync with one another

• Waves cancel out

Free Boundary

• End is ABLE to move

• Reflected wave is the same as incident wave

Fixed Boundary

• End is UNABLE to move

• Reflected wave is the inverse of incident wave

• The bending of waves as they move from one medium to another

The bending of waves through an opening or around a barrier

Think of water waves

• Speed of sound in air is 343 m/s

• Require a medium = mechanical

• Longitudinal

• Echo = reflection of sound

• Pitch = how high or low a sound is = frequency

• Loudness = depends on the amplitude

• Speed of light in vacuum = 3.0 X 108 m/s

• Does NOT require a medium = electromagnetic

• Transverse

• Mirrors = reflection of light

• Lenses = refraction of light

Specular

Diffuse

Angle of incidence = angle of reflection

Flat, Plane Mirrors

Bathroom mirrors

Concave

Used for magnification

Convex

Makes images smaller

Used in side mirrors of cars

Concave

• Used the make images smaller

Convex

• Used in camera lenses, microscopes, magnifying lenses