lecture36[1] - Damped Oscillations and Resonance Serway...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Physics 1D03 Damped Oscillations and Resonance Serway 15.6, 15.7 • Damped Harmonic Oscillation • Forced Oscillations • Resonance Practice: Chapter 15, problems 37, 41 Physics 1D03 x t x t SHM: x(t) = A cos ω t Motion continues indefinitely. Only conservative forces act, so the mechanical energy is constant. Damped oscillator: dissipative forces (friction, air resistance, etc. ) remove energy from the oscillator, and the amplitude decreases with time.
Background image of page 1

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

View Full DocumentRight Arrow Icon
2 Physics 1D03 ) cos( ) ( ) ( 2 0 φ ω + = - t e A t x t m b Weak damping: Damped Oscillator: Drag force f = - b v x t Amplitude decreases exponentially with time Physics 1D03 Without damping: the angular frequency is 2 2 0 2 2 2 - = - = m b m b m k The frequency is slightly lower with damping. m k = 0 With damping:
Background image of page 2
3 Physics 1D03 Example : A mass on a spring oscillates with initial amplitude 20 cm. After 10 seconds, the amplitude is 10 cm. Question:
Background image of page 3

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

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/14/2010 for the course ENGINEERIN 1D03 taught by Professor N.l.mckay during the Spring '10 term at McMaster University.

Page1 / 7

lecture36[1] - Damped Oscillations and Resonance Serway...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online