slide1 n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Simple Harmonic Motion PowerPoint Presentation
Download Presentation
Simple Harmonic Motion

Loading in 2 Seconds...

play fullscreen
1 / 11

Simple Harmonic Motion - PowerPoint PPT Presentation


  • 188 Views
  • Uploaded on

Simple Harmonic Motion. What is Simple Harmonic Motion?. Simple harmonic motion (SHM) a type of wavelike motion that describes the behavior of many physical phenomena: a pendulum a bob attached to a spring low amplitude waves in air (sound), water, the ground

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Simple Harmonic Motion' - carsyn


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide2

What is Simple Harmonic Motion?

  • Simple harmonic motion(SHM)a type of wavelike motion that describes the behavior of manyphysical phenomena:
    • a pendulum
    • a bob attached to a spring
    • low amplitude waves in air (sound), water, the ground
    • the electromagnetic field of laser light
    • vibration of a plucked guitar string
    • the electric current of most AC power supplies
slide3

What is Simple Harmonic Motion? (cont.)

  • This wavelike motion is repetitive.
  • It is caused by a restoring force that acts in the opposite direction of the displacement.
slide4

Springs

  • If we stretch a spring with a mass on the end and let it go, the mass will oscillate back and forth.
slide5

Simple Pendulum

  • Under small displacements, the simple pendulum behaves as a harmonic oscillator.
  • the restoring force is a component of the bob’s weight.

L

Ft

Fg,x

mg

Fg,y

slide6

The period and frequency of a wave

  • The period (T) is the amount of time it takes a wave to go through 1 cycle.
  • Frequency (f )is the number of cycles per second.
slide7

The period and frequency of a wave (cont.)

  • unit of a frequency =hertz(Hz)
  • Heinrich Hertz (1847-1894), discovered radio waves.

f = 1 / T

T = 1 / f

slide8

Amplitude

  • The maximum displacement from some equilibrium (mid point) position.
slide9

Period of a mass-spring in harmonic motion

T = 2π √(m/k)

  • The period of a mass-spring system depends on the mass of the object and the spring constant.
sample problem

T = 2π√(m / k)

k = ?

Sample Problem

The body of a 1275 kg car is supported on a frame by four springs. Two people riding in the car have a combined mass of 153 kg. When driven on a pothole in the road, the frame vibrates with a period of 0.84 s. For the first few seconds, the vibration approaches simple harmonic motion. Find the spring constant of a single spring.

T= 0.84 s

m = (1275 kg + 153 kg) / 4 =

357 kg

T² = (4π²m) / k

k = (4π²m) / T²

k = [4π² (357 kg)] / (0.84 s)² =

2.00 x 104 N/m

slide11

Period of a simple pendulum in harmonic motion

T = 2π √(L/g)

  • The period of a simple pendulum depends on the string length and gravity.