Chapter_14

# Chapter_14 - 2 2 1 2 2 1 2 2 1 v x k m A k E = = 4 Total...

This preview shows pages 1–2. Sign up to view the full content.

Ch 14: Harmonic Oscillation Focus: Oscillation—Restoring force k = spring constant (N/m) x m k dt x d a = = 2 2 Examples: Spring: l = length (m) θ α l g dt d = = 2 2 Simple Pendulum: m k = 2 ω l g = 2 q a dt q d q 2 2 2 = for any parameter q Get this form, peel off w 2 ! 2) Solution: () φ ω+ = t A t x cos ) ( A x = max () + = t A t cos ) ( a 2 A 2 max a = () + = t A t sin ) ( v A = max v Know x, get v by differentiation 1) Harmonic oscillation: R q = w t x x = R cos w t Like circular motion

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Ch 14: Harmonic Oscillation Total energy = kinetic + potential. A = maximum displacement when v = 0.
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2 2 1 2 2 1 2 2 1 v x k m A k E + = = 4) Total Mechanical Energy 3) Frequency f in Hz (cycles per second), Period T (seconds) f π ω 2 = If w is the angular frequency in radians per second T f 1 = If know x, and A, can find v by energy conservation, etc. * Note: related to circular motion—one cycle in 2 p radians, x oscillates....
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Chapter_14 - 2 2 1 2 2 1 2 2 1 v x k m A k E = = 4 Total...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online