Lecture 28

Lecture 28 - Lecture 28 Final Exam Review Final Exam o The...

Info iconThis preview shows pages 1–13. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture 28 Final Exam Review
Background image of page 1

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

View Full DocumentRight Arrow Icon
Final Exam o The final exam will be on Wed June 11 from 10:30am-12:30pm in this room. o Exam will consist of 10 multiple choice questions and 3 long answer questions + 3 short answer questions. o ~1/3 material from *previous material* + 2/3 material covered since the midterm.
Background image of page 2
Hooke’s Law and Springs Equilibrium Remember that a block on a spring oscillates in time like a cosine wave because springs pull and push against displacement as: F=-kx
Background image of page 3

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

View Full DocumentRight Arrow Icon
Understanding wave functions o A spring is oscillating at an angular fequency of pi radians per second. It is observed to peak after 1.5 second. What is the phase constant? time t X position φ 0
Background image of page 4
A is the amplitude, ω is the angular frequency, and φ is the “phase”. The value of φ is set by the time when x reaches its peak value. The frequency f and period T are related to ω as For the special case of a block on a spring : ω is related to the spring constant and mass via: and the energy of the system is described by: The position, velocity, and acceleration of an object in simple harmonic motion can be described as:
Background image of page 5

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

View Full DocumentRight Arrow Icon
Traveling Sinusoidal wave function Travels to the right at speed v
Background image of page 6
Transverse Velocity vs. Wave Velocity o The general solution for a sinusoidal wave allows us to calculate the transverse (up and down) velocity and acceleration at any point and time:
Background image of page 7

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

View Full DocumentRight Arrow Icon
Travels to the right at speed v Travels to the left at speed v. Review Transverse velocity / acceleration. Speed of traveling wave on string density μ tension T: Power transmitted:
Background image of page 8
String with ends pegged
Background image of page 9

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

View Full DocumentRight Arrow Icon
Harmonics: string with ends pegged o There are an infinite number of harmonics, with the nodes spaced closer and closer as n increases o In general for the n’th harmonic: L = n λ n /2 , or λ n = 2L/n o Drawing a picture helps a lot!
Background image of page 10
Background image of page 11

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

View Full DocumentRight Arrow Icon
Phase difference Example Problem: o Two sound waves with identical wavelengths of 1.5 m
Background image of page 12
Image of page 13
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/08/2008 for the course PHYS 3B taught by Professor Wu during the Spring '08 term at UC Irvine.

Page1 / 42

Lecture 28 - Lecture 28 Final Exam Review Final Exam o The...

This preview shows document pages 1 - 13. Sign up to view the full document.

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