Simple Harmonic Motion

1 / 7

# Simple Harmonic Motion - PowerPoint PPT Presentation

Simple Harmonic Motion. Back &amp; forth &amp; back &amp; forth Are you getting sleepy?. Harmonic motion – back &amp; forth over the same path. X = displacement – distance pulled/stretched from equilibrium When released – spring exerts a force on the mass towards equilibrium V max @ equilibrium

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

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

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

### Simple Harmonic Motion

Back & forth & back & forth

Are you getting sleepy?

Harmonic motion – back & forth over the same path
• X = displacement – distance pulled/stretched from equilibrium
• When released – spring exerts a force on the mass towards equilibrium
• Vmax @ equilibrium
• p causes it to overshoot
• @ max stretch/compression –
• V = 0, acceleration & force @ max
Remember Hooke’s Law?
• Felastic = -kx

Pendulums

Pendulum
• Disregard mass of string, air resistance, friction
• If restoring F proportional to displacement = harmonic motion
• Small angles of displacement equal simple harmonic motion
• Free body diagrams (miss them?!) to

Resolve into x & y components

Amplitude = max displacement from equilibrium (rad or m)

• Angle of pendulum, spring stretched/compressed
• Period = one full cycle of motion (T) in seconds
• Time per cycle
• Depends on length of the string & free fall acceleration
• Frequency = # of cycles through a unit of time (f) in Hertz

or

L = length of the string

• g = acceleration due to gravity
• String length varies = different arc lengths to travel through = different T
• Mass varies = no effect on T (more force to restore equilibrium but more force to start)
• Amplitude = affected by g

For springs:

• m = mass
• K = spring constant
• Mass affects period
• < mass = < T