3
Physics 255 Mid Term 2
Friday, 7 November 2014
Time: 50 minutes. A calculator is permitted. Your examination paper should have 4 pages
including the formula sheets. Answer all 4 questions. Show all your work and explain your
reasoning for full credit. T
Physics 255 Lecture 11
21
Midterm 1: 10:30am November 4th in P9412
French to Chap. 6, assignments & lecture content.
Superposition of normal modes and Fourier analysis
Fourier series for a periodic function
Physics 255 Lecture 25
Superpositions of pulses
Dispersion, phase and group velocities
Examples of dispersive media: dispersion relation
Cut-off phenomenon
Physics 255 Lecture 18
N masses on a stretched string: review
Spatial structure of solutions
Longitudinal oscillations
Normal modes of continuous systems
Free vibrations of a stretched string: equation of motion
Physics 255 Lecture 3
Differential equation for simple harmonic motion
Description of SHM in terms of circular motion
Description of SHM in terms of a complex phasor
1
Physics 255 Final
Tuesday, 15 December 2015
Time: 3 hours. A calculator is permitted. Your examination paper should have 8 pages.
Answer all 8 questions. Write all your answers in the examination booklet provided. The
point value for each question is gi
2
Physics 255 Mid Term 1
Friday, 3 October 2014
Time: 50 minutes. A calculator is permitted. Your examination paper should have 3 pages
including the formula page. Answer all 4 questions. Show all your work and explain your
reasoning for full credit. The
3
Physics 255 Mid Term 2
Friday, 13 November 2015
Time: 50 minutes. A calculator is permitted. Your examination paper should have 4 pages
including the formula sheets. Answer all 3 questions. Show all your work and explain your
reasoning for full credit.
1
Formula sheet
The differential equation for a damped harmonic oscillator with a harmonic driving force is
F0
1
(m
x + bx + kx) = x + x + 02 x =
cos t.
m
m
The solution has the form
x(t) = xh (t) + xss (t),
with
t/2
cos(f t + ) = Recfw_Aei et/2 eif t , Q
Physics 255 Lecture 5
Superposition of oscillations at different frequencies
Examples of freely oscillating systems I
Energy in simple harmonic motion
Ex 1: SHM in an arbitrary potential U(x)
Physics 255 Lecture 10
Driven oscillator: review of steady state solution
Power absorbed by a driven oscillator
ssion of Discussion
tutorial 3 Problem
of tutorial
2 3 Problem 2
The figure here shows the time-dependent position of the
rolling cart that we
Physics 255 Lecture 6
Summary from last time
Ex 1: SHM in an arbitrary potential U(x)
Example 2: Simple pendulum redux: energy method
Example 3: Physical pendulum
Example 4: LC circuit
Example 5: Aluminum rod
Physics 255 Lecture 11
Midterm 1: 10:30am October 7th in P9412
Covers up to the end of French Chap. 4
(excluding RLC circuits), assignments,
and lecture content.
Transient response
ssion of Discussion
tutorial 3 Problem
of tutorial
2 3 Problem 2
The figur
Physics 255 Lecture 20
11
10
9
8
7
6
5
4
3
2
1
0
30-40%
40-50%
50-60%
60-70%
70-80%
Midterm 1 Marks
80-90% 90-100%
Normal modes for a continuous 1-D system
Normal modes of a 2-D system
Physics 255 Assignment 8
Due Friday, December 2, 2016, by 4 PM
2. Sound waves incident on water (6 pts)
A sinusoidal plane wave of sound in air falls on a water surface at normal incidence. The
speed of sound in air is about 334 m/s and the speed in water