PHYSICS: PHS1011
Classical physics Thermodynamics Waves Rela6vity
1
2
Mechanics Lectures
We expect you to know the material from
chapters 14 from high school experience.
Most of these rst few lectures should s6ll be
high school revision for most
PHS1011
What are the units of momentum?
A.
B.
C.
D.
kg m / s2
m / s2
kg m / s
kg / s2
What are the units of impulse?
A.
B.
C.
D.
kg m / s2
m / s2
kg m / s
kg / s2
What quantities are conserved in
an elastic collision?
A. Neither energy nor
momentum
B. Ene
Mechanics 2 Quiz
PHS1011
An object is in equilibrium when
A. no forces are ac@ng
on it.
B. it is located at the
origin of the
coordinate system.
C. it has zero velocity.
D. the sum of all forces
ac@ng on it is zero.
Knight discusses three kinds
PHYSICS: PHS1011
Classical physics Thermodynamics Waves Rela6vity
1
Which of the following is false for massless
strings and fric6onless pulleys?
A. If two objects are connected by a (taught)
string, the tension is the same at both ends.
B. If the st
P
H
Y
S
I
C
S
P
H
S
1
0
1
1
1
A par&cle moves counterclockwise with
uniform circular mo,on. Which arrow indicates
the velocity?
A. A
B. B
C. C
D. D
A
D
B
C
No discussion: this is a quiz.
A par&cle moves counterclockwise with
uniform circular mo,
Announcements
Written Assignment 1
Available this week, due at 12:00 PM on
April 8 in PACE.
Reading for next class: Chapter 10
again (Energy, especially springs &
Hookes Law).
Which of the following is a unit for
energy?
A.
B.
C.
D.
Joules
Newtons
kg m
Announcements
Written Assignment 1
Available this week, due at 12:00 PM on
April 8 in PACE.
Reading for next class: Chapter 11
(Work).
Today: Hookes Law, Energy, and Work
An equilibrium for which small disturbances
cause small oscillations is called a
Announcements
Written Assignment 1
Available this week, due at 12:00 PM on
April 8 in PACE.
Reading for next class: Chapter 10
(Energy).
What is the relationship between
force and momentum?
A.
B.
C.
D.
F = Integral[p(t) dt]
F = dp/dt
F=mp
F=p/m
What qu
Announcements
Written Assignment 1
Available this week, due at 12:00 PM on
April 8 in PACE.
Reading for next class: More
Chapter 11 (Work).
Today: Chapter 11 Work
What are the units of work?
A. kg m2 / s2
B. kg m2 / s
C. kg m / s
D. kg m2 / s3
No
Announcements
Written Assignment 1
Available this week, due at 12:00 PM on
April 8 in PACE.
After the break: thermal physics with Dr. Lincoln
Turner. (Today is my last lecture)
Reading for next class: Chapter 16
(Macroscopic Matter).
Announcements
Wr
Physics notes  Electricity
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Free download and print from www.itute.com
Example 2 In an electrolyte, both kinds of charge (positive
and negative ions) are free to move.
+
Electric charge
One of the properties of an
ClassA Amplifier GAIN
SIGNAL MODEL
Gain: Av = v(out) / v(in) Rc / Re
Where does the approximation, Rc / Re come from?
Amplifier: DC Model of circuit This is how it looks to us:
R1
RC
R2
RE
CE
Fig. 1
Signals do not see the circuit like this. We see what i
Rolling a NIB magnet down an aluminium sheet
A typical behaviour is for the magnet to be pulled to one side as shown.
N
If the magnet is reversed it is pulled to the opposite direction.
Question: Why is it pulled to one side?
Answer: Must have something t
Mechanics
Mechanics is a branch of physics concerned with the behaviour of physical bodies when
subjected to forces or displacements. In this tutorial we will go through classical
mechanics in particular the branch of
PHY1031 FLUIDS ENERGY

OBJECTIVES:
Explain key aspects of pressure and fluid behaviour
Determine hydrostatic pressure, apply Pascals Principle
Use concepts above to explain relevant applications in medicine (blood pressure)
Describe briefly how fluid pre
Atwood machine with one end fixed
Consider the pulley system in the figure below, with masses m1 and m2 . The strings and pulleys
are massless. What are the accelerations of the masses? What is the tension in the string?
The convenient coordinates are the
Pendulum moving in a horizontal plain
m
m
p
Newtonian solution
p
K
K
K
mg
m
K
ms
mg
s
g
l
l
l
2
g
l
t
g
a
l
t
g
b
l
t
Lagrangian solution
Lx y x y
x
y
l
y
m x
gmy
l
L
glm
g
l
g
l m
l
g t
c
l
c
Hamiltonian solution
l m
p
H
p
p
p
l m
glm
p
l m
glm
g t
l
3
p
Spherical pendulum
Shortest distance in a plane
Mass on moving wedge
Atwood machine with massive rope
240
The Lagrangian method
r
m
lr
M
Fig. 6.5
Problem: A mass m is free to slide on a frictionless table and is connected, via
a string that passes throug
Towel on rack
A bathroom towel is placed on a rack as shown (from the side) below. The horizontal edges of the towel are parallel with the
rack and there's no friction between the rack and the towel, so the towel starts sliding under the influence of grav
Double pendulum
A double plane pendulum consists of two simple pendulums, with one pendulum suspended from the bob of the other.
The upper pendulum has mass m1 and length l1 , the lower pendulum has mass m2 and length l2 , and both pendulums move in the s
USEFUL RELATIONS
The generalized momentum, in point mechanics, is defined as
L
pi
qi
The definition of the Hamiltonian is
H
pi qi L
i
Noether's theorem, in point mechanics, states: if the Lagrangian is invariant under qi t
Qi s, t then
d
L
Qi
dt
qi
s
0
s
USEFUL RELATIONS
The generalized momentum, in point mechanics, is defined as
The definition of the Hamiltonian is
Noether's theorem, in point mechanics, states: if the Lagrangian is invariant under
, then
Poisson brackets are defined as
Lorentz transforma
USEFUL RELATIONS
The generalized momentum, in point mechanics, is defined as
L
pi
qi
The definition of the Hamiltonian is
H
pi qi L
i
Noether's theorem, in point mechanics, states: if the Lagrangian is invariant under qi t
d
L
Qi
dt
qi
s
Qi s, t then
0
s
Office Use Only
CsB
SECTION B
USEFUL INFORMATION
The generalized momentum, in point mechanics, is defined as
L
pi
qi
The definition of the Hamiltonian is
H
pi qi L
i
Noether's theorem (in point mechanics) states: if the Lagrangian is invariant under
qt
Q
USEFUL RELATIONS
The generalized momentum, in point mechanics, is defined as
L
pi
qi
The definition of the Hamiltonian is
H
pi qi L
i
Noether's theorem, in point mechanics, states: if the Lagrangian is invariant under qi t
d
L
Qi
dt
qi
s
Qi s, t then
0
s
Twobody problem
The Lagrangian for two particles of masses m1 and m2 and coordinates r1 and r2 , interacting
via a potential V , is
1
L r1, r1 , r2 , r2
m1 r1 2
1
m2 r 2 2
V r1 r2
2
2
(a) Find the continuous coordinate transformation that leaves the Lagr
The Beautiful Roles
of the Earth Rotation
Climate presents abundant, beautiful, and colorful
rhythms. Theoretically, its periods can be from zero
to indefinitely long. Climate in a sense is so visible
that every body can predict the coming mornings,
month
Thao Nguyen
Lab 11
21 April 2015
HR Diagram
Introduction
The main objective of this lab section is to understand the properties or ways to classify
stars based on its luminosity and surface temperature. Astronomers categorize stars according to
surface te
Thao Nguyen
Lab 10
14 April 2015
THE SUN
Introduction
The main objective of the Sun lab is to explore physical characteristics of the Sun surface
by investigating various picture of the Sun taken by telescopes. In addition, the characteristics of
the Sun