*This preview shows
pages
1–5. Sign up
to
view the full content.*

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*
**Unformatted text preview: **Oscillations 1. Different types of motion: • Uniform motion • 1D motion with constant acceleration • Projectile motion • Circular motion • Oscillations 2. Different types of oscillations: • Periodic oscillations • Chaotic oscillations A motion is called periodic when the system comes back to the same physical conditions every time interval T. • Harmonic oscillations (the simplest, the most important type of periodic oscillations) 3. Harmonic oscillations Relation between circular motion and simple harmonic oscillations x y θ φ ϖ θ cos A x t = + = θ f T π π ϖ 2 2 = = A a A v A x 2 max max max ϖ ϖ = = = x a 2 ϖ- = ( 29 ( 29 ( 29 φ ϖ ϖ φ ϖ ϖ φ ϖ +- = +- = + = t A a t A v t A x cos sin cos 2 R=A Period of SHO is independent from amplitude! linear equation A=x max T ϖ φ- = t max max a a v x x = =- = max = = = a v v x max =- = = a v v x x t t v a t max max a a v x x- = = = 4. Hook’s law and simple harmonic motion kx ma- = k m f T π ϖ π 2 2 1 = = = Hook’s law:...

View
Full
Document