Lect1 Introductory Physics
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Transcript of Lect1 Introductory Physics
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SFZ3001/FZK3001
INTRODUCTORY PHYSICS
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Course outline
This course is intended to give a solid introduction to basic principles of
classical mechanics, waves and thermodynamics, to develop problem
solving skills, and to prepare university students for professional careers in
science
Classes : Sunday 8.00am9.00am (MK8)
Monday 9.00am11.00 am (MK11)
Time commitment
3hrs/week (class) Studying 5-6 hrs/week
Homework 5-6 hrs/week
A part from 8 hrs/day of your study time.
Assessment : Quiz/Task 20%
1sttest 15%
2ndtest 15% Tutorial 10%
Final exam 40%
100%
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Outline of course
1. Mechanics Physics & Measurement
Vector Algebra
Motion in one & two dimension
Forces: Newtons law of motion
Additional Forces Model & Circular Motion
Work & Kinetics Energy
Impulse & Linear Momentum
Rotation
Oscillations
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Continue
2. State of Matter Deformation of matter
Density & Pressure
Fluid Static & Dynamics
3. Sound
4. Temperature, Heat & The Equation of State
5. Electricity
6. Magnetism7. Modern Physics
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To see forward, first look backward
The earliest step toward science arose out of the
recognition of patterns of irregularity, which is i.e.the
sequence of day& night, the seasons & regular motion of
the heavenly bodiesraises question about their
causes.
The give & take between experimental observation, the
math. Formulation of descriptive & predictive theories, &
further experimental test of predictions of these theories
form the scientific method.
Physics underwent a series of revolutionary between1900 to 1925 which is sometime divided into classical
(pre-1900) and modern physics (post-1900).
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Another way to think physics is in term of scale. Newtons law of motion were thought for a long time to
be universally applicable. In the late 19thcentury, there
are scales at which these law should be replace
quantum mechanics to describe the behavior of matter atatomic scale & below, & other theories.
In the context of Newtons law, it includes the great
subject of classical physics- mechanics, waves,
thermodynamics, electricity & magnetism
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Physics & Measurement Many concept of physics most compactly express in the language of
mathematics.
Term as position, force, work and energy.
Basic SI (Systme Internationale) units
Length (1 meter)
(1889) - distance between 2 scratches on a bar of platinum-iridiumstored in International Bureau of Weight and Measures in Sevres,
France.
(1960)the wavelength of a particular orange-red light emitted by a
isotope of krypton gas (86Kr).
(1983)based on speed of light in vacumm, c. is the distance traveledby light ia a vacumm during the time interval of 1/299,792,458 s.
Property Name Abbreviation
Length Meter m
Mass Kilogram Kg
Time second s
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Time
- Defined as 1/86,400 of the mean solar day.
- (1967) Duration of 9,192,631,770 periods of particular vibration ofa cesium atom isotope (133Ce).
Mass
- Defined as the mass of one liter of water under certain condition oftemperature and pressure.
- (1901) KgThe mass of particular cylinder of platinum-iridium.
Other system of units
Cgs : based on centimetre,gram & secondderived directly from SI.
exp.: density of water=1g/cm3in cgs 103kg/m3in SI
British Engineering Sys. : based on inch, pound and second.
still use in USA in engineering application.
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Unit prefixes
- Prefixes in SI replace given powers of 10.
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Units & Unit conversion
Derived units with combination of the fundamental unit.
EnergyJoule (J) kg.m2/s2
ForceNewton (N) kg.m/s2
PressurePascal (Pa) kg/m.s2
Frequencyhertz (Hz) s
-1
. Conversion unit of different system
1 inch = 2.54 cm
Exp. : 15 in. = ? Cm
15 in. = 15 x 2.54 cm = 38 cm.
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Dimensional analysis
Three primary dimensionslength, time & mass
Abbreviation - [L],[T] and [M].
The dimension of a physical quantity is a algebraic
combination of it.
Speed, v, the dimension of it :
[v] = [L/T], or [v] = [LT-1] which is ms-1
Exp. : area = [L].[L] = [L2] = m2
The dimension on one side od an equation must be thesame as those on the other side.
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Scalar & vectors
Scalarhas no direction associated with it.mass, temperature etc.
A direction is needed for a complete description of
physical quantities.
Exp. Velocity of the ball requires specifying not only thespeed but also the direction of traveling.
Vectorsdescribe both magnitude/direction and a
direction.
It describe displacement, velocity, acceleration, force,electric field etc.
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Displacement
Displacement different
between 2 position of an
object.
From A to B, the vector is
K. With the magnitude of 3
kilometer and direction to
the northeast.
A
B
K
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Addition & Subtraction of Vectors
The result of successive
displacement is also adisplacement
C = A + B
The sum of the two vectorsknown as resultant vector.
Scalar multiplication, dD,means length of D have dmltply. of the vector D
Any vector D is written D = D,D is magnitude is unit vectorthat point in the direction of D
and has a magnitude of 1. In other word, the unit vector
simply specifies a direction.
A
B
C
D2D
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Component
The component vector of V
are the vector Vx and Vy.
V = V2x+V2
y.
from Pythagoras theorem
tan = V2x
V2y
Or tan-1(Vy/ Vx)
Equivalently
Vx= V cos Vy= V sin
If adding 2 vectors V and W,
V+W = (Vx+ Wx) + (Vy+ Wy) .
V
Vx
Vy
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Vectors in 3-dimensional space
3 unit vectors for 3 axesdenoted by , &k
Vector in 2 or 3D can be
specified with Cartesianset of axes (x,y,z)
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Example
1. Describe D in terms of
position vectors A and Bof the points A (2,3) and
B (5,4) (in cm).
2. Calculate length of D
and the angle it makeswith the x-axis.
A
B
A
D
B
0
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Ans.
1. A + D = B then D = BA
2. A=2 + 3 and B = 5 + 4
D = BA = (5-2) + (4-3) = 3 + 1
D = D2x+D2
y. = 32+ 12 = 3.2 cm
tan = Dx/ Dy= 1 cm / 3 cm = 0.33
then = 18o.