Family Name, Given Name (Please print)
Student Number
Tutorial Leaders Name
PHY293 Oscillations Practice Midterm Solutions
Friday, September 28, 2012
Duration - 60 minutes
PLEASE read the following instructions carefully.
Aids allowed: A non-programmable
PHY293 Oscillations Lecture #5
September 20, 2011
4. Velocity Response
There is also a resonance in velocity mass moves faster than forced-end of spring
This actually occurs at the natural frequency of the system
X (t) = a( ) sin(t )
The velocity ampli
PHY293 Oscillations Lecture #4
September 19, 2011
1. First problem set due Friday at 3:00pm
2. Drop boxes will be labeled by mid-week
3. Flash Demo ( http:/www.upscale.utoronto.ca/PVB/Harrison/Flash/ClassMechanics/DrivenSHM/DrivenSHM.html )
Start of mater
PHY293 Oscillations Lecture #3
September 16, 2011
Tutorials start next week
First problem set is now posted on Blackboard
Looked at ash demo: http:/www.upscale.utoronto.ca/PVB/Harrison/Flash/ClassMechanics/DampedSHM/DampedSHM.html
Start of material
4.
PHY293 Oscillations Lecture #2
September 13, 2011
1. Tutorials start next week (September 21-23)
2. First problem set will be posted Friday, before class
Start of material
5. Other oscillating systems
a) Pendulum: ml + mg = 0 and 0 = g /l
b) Torsion Osc
PHY293 Oscillations Lecture #1
September 12, 2011
Last time saw:
1. Introduction/WebSite
2. Why study waves and oscillations? (see slides attached)
3. EKG demonstration ( http:/faraday.physics.utoronto.ca/IYearLab/EKG.pdf )
4. Tacoma Narrows bridge video
PHY293: Waves and Modern Physics
Course will be delivered in two distinct parts:
Oscillations and Waves (thru October 24) [Trischuk]
Modern Physics (second half) [Burch]
Course materials (eventually) posted on the Portal page
Goals of Waves Module
Un
(b) There are three frequency regimes for forced oscillations
low
Resonant
High
0
= /2
2
A a0
A = a0 Q 1 2
A = a0 0
2
11/4Q
Stiffness dominated
spring/damping balanced
Inertia dominated
(c) Velocity Response
Resonance at = 0
X (t) = A( ) sin(t ) V (
4. Review of Forced Damped SHO
2
2
(a) Given : x + x + 0 = a0 0 cos(t)
And two initial conditions (like x(0) = xi and x(0) = vi
We nd a solution x(t) = xc (t) + X (t)
Where the complementary solutions are
I
< 20
Under-damped
xc (t) = C1 et/2 cos( t +
Have already discussed that Q is an indication of how many oscillations occur before the Energy of a damped, un-driven,
oscillator falls to E0 /e
Here well see how Q is related to the resonant frequency and the width of the peak in the power resonance
<
PHY293 Oscillations Lecture #7
September 25, 2009
1. Second problem set now assigned (http:/www.physics.utoronto.ca/ phy293h1f/waves/phy293 ps2.pdf)
Start of material
1. More on Power Absorbed by an Oscillator
Looking back at what forces are acting on th
The rate of energy ow is called power given by: P = F v
Looking back at the SHO equation of motion we have:
2
2
x + x + 0 x = a0 0 cos(t)
Power enters on RHS and leaves through the damping term on the LHS
No power leaves/enters the oscillator through
PHY293 Oscillations Lecture #6
September 23, 2011
1. Second problem set now assigned (linked on Blackboard)
2. Showed the following ash-demo on LRC circuit: http:/www.phy.hk/wiki/englishhtm/RLC.htm
Start of material
7. More on Power Absorbed by an Oscilla
PHY293 Oscillations Lecture #7
September 26, 2011
1. To better understand coupled oscillators I encourage you to have a look at:
http:/faraday.physics.utoronto.ca/GeneralInterest/Harrison/Flash/ClassMechanics/CoupledSHM/CoupledSHM.html
http:/www.walter-
PHY293 Oscillations Midterm Solutions
Thursday, October 11, 2012
Duration - 60 minutes
PLEASE read the following instructions carefully.
Aids allowed: A non-programmable calculator without text storage.
Before starting, please print your name, tutorial gr
Family Name, Given Name (Please print)
Student Number
Tutorial Leaders Name
PHY293 Oscillations Practice Midterm
Friday, September 28, 2012
Duration - 60 minutes
PLEASE read the following instructions carefully.
Aids allowed: A non-programmable calculator
Family Name, Given Name (Please print)
Student Number
Tutors Name
PHY293 Oscillations Midterm Exam Solutions
Thursday, October 8, 2009
Duration - 50 minutes
PLEASE read carefully the following instructions.
Aids allowed: A non-programmable calculator with
PHY293 Oscillations Lecture #18
October 24, 2011
1. Looked at two online demonstrations in this class
http:/webphysics.davidson.edu/applets/Superposition/GroupVelocity.html
http:/phet.colorado.edu/en/simulation/quantum-tunneling
2. Final set of practice
PHY293 Oscillations Lecture #17
October 21, 2011
1. Extra practice problems will be posted later this week
Begin Lecture material
1. Impedance
In electrical circuits we know V /I = R, often refer R as the electrical impedance
Looking back at the paralle
PHY293 Oscillations Lecture #16
October 18, 2011
1. Looked at a Flash simulation of waves reected/transmitted at a density change
http:/paws.kettering.edu/ drussell/Demos/reect/reect.html
Begin Lecture material
1. Reection/Transmission of Traveling waves
PHY293 Oscillations Lecture #15
October 17, 2011
1. Third problem set due Friday at 3pm
2. Looked at a Flash simulation of two traveling waves combining to make a standing wave
http:/www.walter-fendt.de/ph14e/stwavere.htm
Begin Lecture material
1. Travel
PHY293 Oscillations Lecture #14
October 14, 2011
1. Third problem set due next Friday (21/10) at 3 pm
2. Looked at a two longitudinal wave Flash simulations
http:/paws.kettering.edu/drussell/Demos/waves/wavemotion.html
http:/faraday.physics.utoronto.ca/
PHY293 Oscillations Lecture #13
October 11, 2011
1. Midterm test is this Thursday morning at 9:30am in EX100 (McCaul St.)
2. Looked at animations of longitudinal/sound waves at:
http:/paws.kettering.edu/drussell/Demos/waves/wavemotion.html
http:/faraday
PHY293 Oscillations Lecture #12
October 7, 2011
1. Midterm test, next Thursday (13/10/11) in EX100 at 9:30 am
2. Solutions to practice midterm posted later this evening
Begin Lecture material
1. Solution of Wave Equation for Standing Waves
How do we solv
PHY293 Oscillations Lecture #11
October 4, 2011
Begin Lecture material (nal lecture by Prof. Burch on my behalf)
1. Standing Waves
Now moving from the study of discrete objects that are oscillating (masses on springs, pendulum, boats bobbing in water) to
PHY293 Oscillations Lecture #10
October 3, 2011
1. Again, these are my notes. Prof. Burch might have covered the material slightly differently.
Begin Lecture material
1. Initial Value Problems
Up to now weve studied how to nd normal frequencies and their
PHY293 Oscillations Lecture #10
September 30, 2011
These are the notes I gave Prof. Burch before he gave the lecture on Friday. Of course he may have covered the material slightly
differently. Id be happy to answer any questions you have on these notes an