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.