Introduction To Mechanics is very important for beginners.
Physical quantity
Motion is the basic part of the mechanics. Any quantity that can be measured accurately is known as a physical quantity e.g length, mass, time, area, volume etc.
Unit
The measurement of quantities are expressed in terms of certain quantities of similar nature. This are known as units of measurement.
S.L. UNITS
Distance | Metre | m |
Displacement | Metre | m |
Mass | Kilogram | kg |
Time | Second | s |
Speed | Metres per second | Ms-1 |
Velocity | Metre per second | ms-1 |
Acceleration | Metre per second square | ms-2 |
Angular Velocity | Radian per second | Rad s-1 |
Basic Units
There are seven basic units
Length | metre | m |
Mass | kilogram | kg |
Time | second | sec |
Temperature | kelvin | k |
Electric current | Ampere | A |
Light Intensity | candela | CD |
Amount of Substance | mole | mol |
ASTRONOMICAL UNIT (A.U)
The mean distance of the sun from the earth is called the astronomical unit.
I.A. U. = 1.496×10-11m
LIGHT YEAR
It is a unit used to measure the distance between the earth and stars.
1 light year = 365 x 86400 x.3 x 10.8m
= 9.46 x 10.15m
Micron = 10.-6m = 10.-4cm = 10.-3 mm
Angstrom (A*) = 10.-10m = 10.-8cm
Nanometer(nm) = 10.-9m = 10 A*
Fermi=10.-15m.
{ The radius of hydrogen atom is 0.5 a
The effective radius of proton = 1.2 fermi}
PARSEC (Parallactic second)
It is a distance that corresponds to an annual parallax of one second due to rotation of the earth.
1 parsec = 3.26 light years
= 3.26 x 9.46 x 10.15 m
= 3.08 x 10.16m.
ATOMIC MASS UNIT (A.M.U)
1 a.m.u. = 1.66x 10.-27 kg
Weight = Mass x acceleration due to gravity.
W =m x g
Force = mass x acceleration
F = m x a
UNITS OF FORCE
MKS system = Newton
CGS system = dyne
FPS system poundal
RELATIONSHIPS
1 kg. Wt = 9.81 Newton 4
1 gm. Wt =981 dynes
1 pound wt = 32 poundals
PREFIX AND THEIR SYMBOLS FOR EXPRESSING POWER OF 10
Power of 10 | Prefix | symbol |
10.12 | tera | T |
10.9 | giga | G |
10.6 | mega | M |
10.3 | kilo | K |
10.2 | hecto | H |
10.1 | deca | da |
10.-1 | deci | d |
10.-2 | centi | c |
10.-3 | milli | m |
10.-6 | micro | u |
10.-9 | nano | n |
10.-12 | pico | p |
10.15 | femto | f |