Chapter 12
Mechanical Waves
and Sound
1
The Nature of Waves
The Nature of Waves:
Waves and Particles are two great concepts in classical physics.
Types of waves:
Mechanical (water, sound, seismic),
Electromagnetic (light, radio, television, microwaves,

PHY136 Assignment 2
Instructions: Complete all questions on this assignment. Be sure to show all of your
steps, state any reasonable assumptions, draw and label all diagrams, free body
diagrams, and state your final derived equations (when reasonable). Be

EXPERIMENT
STANDING WAVES ON A STRING
Introduction:
A wave is the propagation of a disturbance or energy. A wave is characterized by its
wavelength , the frequency of oscillation f (in Hz or 1/s = s1), and the wave speed v. These quantities
are related by

NAME (PRINT):
Last/Surname
First /Given Name
STUDENT #:
SIGNATURE:
UNIVERSITY OF TORONTO MISSISSAUGA
JUNE 2017 FINAL EXAMINATION
PHY136H5F
Introductory Physics I
Marc De Benedetti
Duration - 2 hours
Aids: Non-Programmable Calculators;
One double-sided, 8-

Name (Print): _ Student #:_
Last/Surname
First/Given
UNIVERSITY OF TORONTO MISSISSAUGA
Mid-term Test
PHY136H5F Introductory Physics-I
Held on Friday 2 June, 2017
2:00 4:00 pm
Instructor: M. De Benedetti
Duration: 2 hours
Aids allowed: non-programmable cal

PHY136 Assignment 1
Instructions: Complete all questions on this assignment. Be sure to show all of your
steps, state any reasonable assumptions, draw and label all diagrams, free body
diagrams, and state your final derived equations (when reasonable). Be

1
ON
Chapter 4: Newtons Laws of Motion
Chapter 5: Applications of Newtons Laws
Chapter 4: Newtons Laws of Motion
Solution:
The force and its horizontal and vertical components are shown in the figure below. The force is
directed at an angle of 20.0 + 30.0

Solutions
Name (Print): _
Student #:_
Last/Surname
First/Given
UNIVERSITY OF TORONTO MISSISSAUGA
Mid-term Test
PHY136H5F Introductory Physics-I
Held on Friday 2 June, 2017
3:00 5:00 pm
Instructor: M. De Benedetti
Duration: 2 hours
Aids allowed: non-progra

PHY136 Assignment 5
Instructions: Complete all questions on this assignment. Be sure to show all of your
steps, state any reasonable assumptions, draw and label all diagrams, free body
diagrams, and state your final derived equations (when reasonable). Be

Abstract
In this experiment, it was proven that the period of a simple pendulum is dependent on
the acceleration due to gravity. For the experiment, the period of the pendulum and angle of
displacement was recorded using the software system Capstone. The

Abstract
The experiment examined how a free falling objects or projectiles are only
subjected to the force of gravity and no other forces. Neglecting air resistance all
objects accelerate at a rate of 9.80 m/s2 and when solving kinematic equations
acceler

Chapter 3
MOTION
IN A PLANE
Kinematics in Two Dimensions
Displacement, Velocity, and Acceleration
ro initial position
r
r = final position
r r ro displacement
Average velocity is the displacement
Divided by the elapsed time.
r ro r
v
t to t
v im (r/t

Chapte
r 11
Elasticity
and
Periodic Motion
11.1 Stress, Strain, Elastic Deformation
Stress is formally defined
as force per unit area.
Units would therefore be
N/m2 also known as the
Pascal (Pa).
PSI, or lb/in2, are the
British equivalent.
1 pascal 1 P

CHAPTERS 4 AND 5
Newtons Laws
of Motion and their
Applications
The Concept of Force and Mass
Classes of force:
(A) Contact forces.
(B) Field forces.
Contact forces arise from physical
contact .
Action-at-a-distance (field) forces
do not require contact an

Chapter 7
1
WORK AND ENERGY
7.1 An Overview of Energy
Energy is conserved.
Kinetic Energy describes motion and relates to the
mass of the object and its velocity squared.
Energy on earth originates from the sun.
Energy on earth is stored thermally and

CHAPTER 9
Rotational
Motion
1
Kinematics of Rigid Objects
Pure Translational Motion (Curvilinear or linear),
all points on an object travel on parallel paths.
2
Rigid bodies can rotate around a fixed axis.
Pure Rotational Motion
all points on an object ro

CHAPTER 10
Rotational
Dynamics
According to Newtons second law,
a net force causes an
object to have an acceleration.
What causes an object to have an
angular acceleration?
TORQUE
The amount of torque
depends on where and in
what direction the
force is

Chapter 2
MOTION ALONG A
STRAIGHT LINE
x final position
x o initial position
x x x o displaceme nt
Ex. 1
x o 2.0 m
x 5.0 m
x 7.0 m
x x x o 7.0 m 2.0 m 5.0 m
Ex. 2
x 2.0 m
x 5.0 m
x o 7.0 m
x x x o 2.0 m 7.0 m 5.0 m
Ex. 3
x o 2.0 m
x 5.0 m
x 7.0 m

Chapter 6
Circular Motion
and
Gravitation
1
Definition of Uniform Circular Motion
Uniform circular motion is the motion of an object
traveling at a constant speed on a circular path.
Let T be the time
it takes for the
object to travel
once around the
circ

CHAPTER 8
Momentum
1
8.1 Definition
of Linear Momentum
r
The linear momentum
r
velocity v :
p of an object is the product of the objects mass m
p mv
and
Linear momentum is a vector quantity that
points in the same direction as the velocity.
SI units of

@ Ti (4359 '5 1;(20382
T -_ T246597,
M C0591
1 : Wu 5 ML WW6
3mm, (C0390 5mequ AW knsiw
W '0'; +R 5m
wcgvuML (M 1% (mar
$112 F = "
WEE; ML '_ (TOO/V ~ 58.6N
' to
-1 HQ ? MI Yo" :5?- ~_ k7
mm. 50 block y. m;
kindw (Wham ,3) VOAWR'CZAQWI
% Im order" (V

Chapter 3: Suggested Problems for PHY136H5F Summer 2016
These problems are taken from Sears & Zemanskys College Physics, 9
1.
th
Edition
Set Up: Coordinates of point A are (20 m, 10 m) and for point B they are (100 m, 60 m)
Figure 3.1
Solve: (a) At A, x 2

Chapter 5: Suggested Problems for PHY136H5F Summer 2016
These problems are taken from Sears & Zemanskys College Physics, 10th Edition
1. 1130-kg car is held in place by a light cable on a very smooth (frictionless) ramp, as shown in Figure
5.1. The cable

Chapter 5: Solutions Suggested Problems for PHY136H5F Summer 2016
These problems are taken from Sears & Zemanskys College Physics, 10th Edition
1. Set Up: Apply Newtons first law to the car. Use x and y coordinates that are parallel and
perpendicular to t

FORM A (White)
Student Name (Print):
Student Number:
Last/Surname
First /Given Name
UNIVERSITY OF TORONTO MISSISSAUGA
Mid-term Test
PHY136H5F Introductory Physics I
Held on Tuesday 15 Oct, 2013 at IB110
17:00 pm 19:00 pm
Instructor: W. Ghobriel
Duration:

Student Name (Print):
Student Number:
Last/Surname
First /Given Name
UNIVERSITY OF TORONTO MISSISSAUGA
Mid-term Test
PHY136H5F Introductory Physics I
Held on Tuesday 2nd June , 2015 at IB110
5:00 pm 7:00 pm
Instructor: Mandeep Saini
Duration: 2 hours
Aids

Student Name (Print):
Student Number:
Last/Surname
First /Given Name
UNIVERSITY OF TORONTO MISSISSAUGA
Mid-term Test
PHY136H5F Introductory Physics I
Held on Tuesday 2nd June , 2015 at IB110
5:00 pm 7:00 pm
Instructor: Mandeep Saini
Duration: 2 hours
Aids

1
Tutorial Problems From Previous Tests and Exams
2 Tutorial Ch. 6 7
(1) The figure shows a conical pendulum. Its bob, whose mass m is 1.5 kg,
whirls around in a horizontal circle at constant speed v at the end of a cord
whose length L, measured to the ce

Introductory Lab
Instruments and Measuring Devices
What we want to strive for in this lab is pure observation. Dont let any theory color your
observations. Experience the excitement of discovery! Practice how to use all the available
measuring devices and

Lab Guidelines
Every TA has their own style of lab report. Being in your shoes not too many years ago,
I disliked having to guess how to write a lab report and figure out the hard way what pet
peeves each TA had regarding lab reports. So, my attempts to e

Variable-g Pendulum EX-5519
Page 1 of 7
111Equation Chapter 1 Section 11Variable g Pendulum
Introduction:
This experiment explores the dependence of the period of a simple pendulum on the acceleration
due to gravity.
A simple rigid pendulum consists of a

PHY136 Assignment 2
Instructions: Complete all questions on this assignment. Be sure to show all of your
steps, state any reasonable assumptions, draw and label all diagrams, free body
diagrams, and state your final derived equations (when reasonable). Be