Chapter 14

1 / 46

# Chapter 14 - PowerPoint PPT Presentation

Chapter 14. Periodic Motion. Hooke’s Law. Potential Energy in a Spring. See also section 7.3. Simple Harmonic Oscillator. Notations. This is the simple harmonic oscillation equation. Very very important!. You want to write ALL oscillation equations in this form. Simple pendulum.

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

## PowerPoint Slideshow about 'Chapter 14' - amie

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

### Chapter 14

Periodic Motion

Potential Energy in a Spring

Notations

This is the simple harmonic oscillation equation.

Very very important!

You want to write ALL oscillation equations in this form.

Simple

pendulum

Tuning

fork

Skyscraper

(Inverted Pendulum)

Other Examples
All equations looks the same

You want to write ALL oscillation equations in this form.

Example

Given moment of inertia I and CM at l,

find the angular frequency.

Example

A lead ball is attached to a string 3m long. Find the natural period of the pendulum.

Damped

Oscillation

Solving the Equation

Try the solution:

Three Cases

Under-damped

Over-damped

Critically damped

Three Cases

Under-damped:

Over-damped:

Critically damped:

Under-damped

Over-damped

Critically damped

Under-damped

Critically damped

Over-damped

under damped

over damped

critically damped

system slows down

fastest when

critically damped

Too much damping

Is counter-productive!

Resonance

Pushing a swing