Experiment IV Simple Harmonic Motion
PHY 180 PRA0107
Name: Congyuan Xu (1001385636)
Date: Oct 14th 2014
Lab partner: Matthew Lakier, Simon Y
Lab group: 21
Introduction:
Simple harmonic motion is a type of periodic motion where the restoring force on
the o
PHYSICS
LABORATORY
MANUAL
PHY180
Academic Session
2015 2016
-1-
TABLE OF CONTENTS
Health and Safety in the Laboratory .2
General Information
I. Introduction .3
II. Getting Started .4
III. Structure of the Laboratory .4
IV. Requirements .5
V. Marking Schem
Experiment III Dynamics of Rotational Motion
PHY 180 PRA0107
Name: Congyuan Xu (1001385636)
Date: Oct 14th 2014
Lab partner: Matthew Lakier, Simon Y
Lab group: 21
Introduction:
The moment of inertia, I, is the property of an objet that determines its resi
The Torsion Pendulum
(One or two weights)
Exercises I through V form the one-weight experiment.
Exercises VI and VII, completed after Exercises I -V, add one weight more.
Preparatory Questions:
1. The torsional stiffness, or the torsion constant, , is def
Citizenship and
Immigration Canada
PROTECTED WHEN COMPLETED - B
Citoyennet et
Immigration Canada
PAGE 2 OF 2
CUSTODIANSHIP DECLARATION PARENTS/GUARDIANS FOR MINORS STUDYING IN CANADA
STUDENT INFORMATION
Student's full name
Date of birth
Citizenship
Xu Con
Online Payment
Options for
Studentsin China
If you are a Chinese student studying abroad, you and your family can now take advantage of a convenient online option to
pay student fees in Chinese Yuan.
Working with Geoswift, your institution provides a fast
Note: the marker put large slashes over many solutions.
ignore them.
UNIVERSITY OF TORONTO
FACULTY OF APPLIED SCIENCE AND ENGINEERING
FINAL EXAMINATION, April 2012
First Year Engineering Science
ECE159H13 Electric Circuit Fundamentals
Examination 'Iype A
University of Toronto
Faculty of Applied Science and Engineering
FINAL EXAMINATION April, 2013
FIRST YEAR ENGINEERING SCIENCE
Program 5
MAT195S CALCULUS II
Examiners: P. Athavale and J. W. Davis
Instructions: (1) Closed book examination; no calculators,
University of Toronto
Faculty of Applied Science and Engineering
FINAL EXAMINATION April, 2012
}FIRST YEAR ENGINEERING SCIENCE
Program 5
MAT1958 CALCULUS II
Examiners: O. Yacobi and J. W. Davis
Instructions: (1) Closed book examination; no calculators, n
Instructions:
Family Name:
Given Name:
Student #:
(1)
(2)
(3)
(4)
(5)
University of Toronto
Facul of Applied Science and Engineering
FIN L EXAMINATION April, 2011
FIRST YEAR - ENGINEERING SCIENCE
Program 5
MAT195S CALCULUS II
Examiners: S. Alexakis and J.
No one can be told what the matrix is;
you have to see it for yourself.
Advertisement
For the lm The Matrix
1
The ABCs of Matrices
W
HERE should I begin? I suppose I should start with matrices. Not that
matrices are the end-all and be-all of linear algeb
ESC102 ENGINEERING SCIENCE PRAXIS II 20151
Praxis II Syllabus
This document should be understood in conjunction with the Praxis II Course Outline.
Praxis II builds on the attitudes, skills, and knowledge introduced in Praxis I by having students complete
University of Toronto
Department of Electrical and Computer Engineering
ECE159S ELECTRIC CIRCUIT FUNDAMENTALS 2015
Course Introduction
1. COURSE OBJECTIVES
To provide students with an understanding of the analytical methods that can be applied to
electric
1
Date: 22/9/15
Group: PRA 0101 Section: 1
TA: Ahmad
Student Name: Angel Javier Urbano Cabrera Student number: 100258919
Lab Partner: Barry Wei
Experiment 2: Newtons Third Law
2
Introduction
Newtons third law of motion states that if object A exerts a for
Set 1
Set 2
Set 3
Set 4
Mass cart A Mass Cart B
508.3
519
508.3
1277.8
508.3
519
508.3
1277.8
Momentum Calculation
21.975
25.1424
35.58927
34.9336
-108.6227
-94.3658
177.5222
-141.089443
33.4946
21.0922
102.58257
142.87994
927.981
93.5998
-556.094
-192.16
Page 1 of 8
Chaotic Motion
(One or two weights)
Exercises I through IV form the one-weight experiment.
Exercises V through VII, completed after Exercises I-IV, add one weight more.
This challenging experiment demands your independent study and creativity.
A QUICK GUIDE TO CAPSTONE SOFTWARE
Hardware configuration
After you start the Pasco Capstone software, you can find the Hardware Setup tool in the Tools
palette.
In general, the interface will automatically recognizes all PASSPORT sensors that you plugged
1
Static and Kinetic Friction
(One or two weights)
Part I is worth one weight.
Part II adds one weight more.
Recommended reading: R.A.Serway and J.W.Jewett, Jr. Physics for Scientists and Engineers 8th
ed. (Thomson, 2010). Chapter 5.8.
Preparatory Questio
Wilberforce Pendulum
(One or two weights)
For a 1 weight experiment do Part 1 (a) and (b).
For a 2 weight experiment do Part1 and Part 2
Recommended readings:
1. PHY152 University of Toronto. Selected Material From University Physics with Modern Physics
b
Elastic properties of solids
Page 1 of 8
Elastic Properties of Solids
(One or two weights)
Exercises I through IV form the one-weight experiment.
Exercises V through VII, completed after Exercises I-IV, add one weight more.
This is a rare experiment where
CONSERVATION OF MOMENTUM AND ENERGY (AIR TRACK)
PREPARATORY QUESTIONS
1. Make sure that you understand the principle of conservation of momentum. When two
carts collide, is momentum conserved at each instant before, during and after the
collision? If the
PHY180
Newton 1 & 2
Lecture 6
Sections 4.6, 5.1-5.5
Newtons Second Law
d
F~ = m~v
dt
Typical case: mass m does not change in time, so
2
d
d
F~ = m ~v = m~a = m 2 ~x = m~x
dt
dt
Force is a vector
~a
F
~a + F
~b
F
~b
F
Acceleration due to Net Force: vector
PHY180
Circular Motion
4.4-4.5 in text
Circular Motion
~v
object
trajectory
Simplest case:
Uniform circular motion = constant speed.
(Is there acceleration in this case?)
What is constant?
increasing omega
constant omega
y
y
1.0
1.0
0.5
0.5
2
4
6
8
10
t
2
PHY180 Lecture 2
More about Motion
Displacement
Definite integrals
Average versus instantaneous quantities
v(t) is the slope of x(t)
v(t)a(t) is the slope of v(t)
a(t)
x(t)
x(t)
v(t)
x(t)
x(t)
v(t)
d/dt
R
dt
x(t)
x
change in x(t) is
the area under v(t)
v
PREPARATORY QUESTIONS LAB 6
1. When two carts collide, momentum is conserved before and after the
collision. If the carts are of equal mass, there momentum will be of equal
magnitude. In the case that two carts collide and stick, momentum is still
conserv
Piazza begins!
as of this morning:
Noise control
read before you post
mark duplicates when you see them
Dont change topics mid-thread
(by the way, )
too many emails?
PHY180 Lectures 1,2
Motion
The dynamics of position, velocity, and acceleration
Mechan
PHY180
Classical Mechanics
(aka Elements of Physics I)
Joseph Thywissen
[tie-wiss-en]
Brian Wilson
lecturer
lab coordinator
What is Classical Mechanics?
Study of forces and motion
d
~
F = m~v
dt
You may have studied mechanics in high school, but now:
Cal