PHS 1022 Paper 2 2001 Examination (Rot & Grav Mechanics, Quantum) Answers 2006 Note: several topics are no longer on the syllabus. Students should consider only questions nominated by staff or which obviously relate to the current syllabus. SECTION A Ques
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
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Thao Nguyen
Lab 12
April 29 2015
THE EXPANDING UNIVERSE
Introduction
The main objective of this lab is to determine the age of the universe and make sense of
the idea that the universe is expanding. First section of the lab was dedicated for intr
Thao Nguyen
Lab 8
24 March 2015
SPECTRA
Introduction
The main focus of this lab is to understand and observe various spectra and investigate
the properties of the sources that produce them. Firstly, the lab introduced the concept of light as
electromagnet
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Thao Nguyen
Lab section 4
February 17 2015
LUNAR PHASE
Introduction
This lab covered the understanding of eight lunar phases, the reason for different phases
seen from the Earth and identifying the time of rising, setting, and meridian of each phas
Thao Nguyen
Lab 6
March 3rd 2015
PLANETARY ORBIT SIMULATOR
Introduction
This week lab mainly focuses on the three Keplers Laws on planetary motion and
Newtons law. The first section involves introduction of geometry properties ellipse. This
knowledge was
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MOTION OF THE SUN
Summary
The lab of this week mainly aimed at understanding the daily and seasonal motion of the
Sun. The first section focused on differentiating the sidereal day and the solar/synodic day (the
normal day measured by 24 hours). Th
Thao Nguyen
Lab 6
March 10 2015
TIDAL FORCES
Introduction
This lab covered the understanding of tidal force and the application of Newton 2 nd law in
calculating the acceleration of the less mass object caused by gravitational force. The first lab
section
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Thao Nguyen
Lab section 3
2/10/2015
BASIC COORDINATES & SEASON
Introduction
This lab section covered the understanding of the terrestrial and celestial coordinates
systems, and the relationship between the ecliptic and seasons on Earth. In details,
Rotating Sky Lab Report
The lab section concentrated on applying the horizon system coordinates, predicting three
declination ranges at certain latitude, and visualizing star trails. The application used during the
lab was Rotating Sky Explorer. The main
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
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Thao Nguyen
Lab 9
April 7 2015
BUILD YOUR OWN SPECTRA
Introduction
Not until the invention of telescope, astronomers were struck with observing objects in
the sky and the field of astronomy did not develop as it does today. From 1600s, telescopes
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
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