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A General Course of Physics. Mechanics. Textbook

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131
Physical Quantities
Numerical Values
Gravitational constant
G = 6,67259(85)10
–11 m3
kg
–1
c–2
Standard gravitational acceleration (acceleration of free fall)
g = 9,80665 м
с
2
Multipliers
Prefixes
Symbols
Multipliers
Prefixes
Symbols
10
18
1015 1012
109 106 103 102 101
exa
peta
tera
giga
mega
kilo
hecto
deca
E P Т
G
М
k h
da
10–1 10–2 10–3 10–6 10–9
10
–12
10
–15
10
–18
deci centi milli
micro
nano
pico
femto
atto
d с
m
µ n p f a
Physical Quantities
Numerical Values
The Earth’s mean radius
6,37106 m
The Earth’s mean density
5500 k/m3
The Earth’s mass
5,961024 k
The mean radius of the Sun
6,95108 m
The Sun’s mass
1,971030 k
The mean radius of the Moon
1,74106 m
The Moon’s mass
7,31022 k
The mean distance between the Moon and the Earth (center to center)
3,84108 m
The mean distance between the Sun and the Earth (center to center)
1,51011 m
The Moon’s orbital period around the Earth
27 days 7 h 43 min
The Sun’s mean density
1400 k/m3
2. Multipliers, prefixes for decimal multiple units formation
1. Physical constants
Appendix
3. Astronomical Quantities
132
Acceleration, 5, 87, 118
angular, 12 free fall, 77 normal, 8, 12 tangential, 7, 11
Amplitude, 101
oscillations, 90, 93
resonance, 101 Angle, 4, 9, 10, 11 Angular, 9, 51, 69, 84
momentum, 62 velocity, 62, 63, 64, 66 Axis, 10, 27, 31, 53, 60, 77 rotation, 10, 28 symmetry, 29
Beats, 92 Body, 4 center of mass, 25 equation of motion, 97 equilibrium, 100 homogeneous, 52 moment of inertia, 54, 64, 86 ideal fluid, 105
viscous fluid, 98
perfectly rigid, 48
kinetic energy, 38
principal axes of inertia,
53
rotation, 27
Center, 25 of gravity, 25
of inertia, 82
of mass, 23 Coefficient, 97 attenuation, 97 forced, 97 resistance, 95 Collision, 42 central, 42 perfectly elastic, 44
Density, 56 Derivative, 87 Differentia, 97 Displacement, 7 Dynamics, 17, 59 relativistic, 127
Effect, 17, 59, 66 Energy, 87 harmonic oscillation, 82 rotating body, 10 mechanical, 17 potential, 36
total, 49 Equation, 109, 128 Bernoulli, 110 relativistic dynamics, 129 Equilibrium, 100
Field potential, 36 stationary, 58 gravitational, 38, 77 velocity vector, 11, 109 Figures, Lissajous, 93 Flow, 110 continuity, 110
fluid, 109 Force, 18, 27, 39, 41, 42, 61, 73 Coriolis, 72 elastic, 38
external, 60 friction, 104 internal, 26 gravity, 75
inertia, 18 centrifugal, 73 conservative, 40 non-conservative, 41 quasi-elastic, 82 resistance, 99 Frequency, 11, 72, 84 angular, 83
SUBJECT INDEX
133
Friction, 112 viscous, 98
Gyrocompass, 66 Gyrodynamics, 50 of a rigid body, 59 Gyroscope, 66
Hertz (Hz), 12 Hydrostatics, 105 Hydrodynamics, 105
Impulse, 19 Inertia, 26 Intensity, 107
Joule, 33
Kilogram, 14 Kinematics, 4 Kinetics, 40
Law, 64, 74, 108 angular momentum conservation, 63, 64, 66
hydrodynamics, 106
Kepler’s, 75 momentum conservation, 43
Newton’s first, 16 Newton’s second, 19 Newton’s third, 20
Pascal’s, 104 universal gravitation, 75 velocity addition, 118, 119, 126, 127 Length, 124, 127 frames, 124, 126 Liquid, 106
fluids density, 108
flow, 111
ideal, 109
volume, 106, 109
Mass, 22, 24, 26 Earth’s, 77
terminal, 24 variable, 21 Mechanics, 4 classical, 4, 16. 116 fluids, 106
Newtonian, 118, 126, 118 relativistic, 16 Moment force, 54, 55 gravity, 35, 39 of inertia, 50
centrifugal, 75 Momentum, 19, 20 Motion angular, 10
circular, 9
curvilinear, 8 reactive, 22
rotation, 10 uniform, 5
finite, 9 infinite, 17 mechanical, 11 non-inertial reference frame, 68 translational, 16
Newton, 8, 16, 19
Oscillation, 88, 90, 94 amplitude, 89 damped, 92 forced, 98 Fourier, 93
free, 101 harmonic, 83 mutually perpendicular, 103 natural, 89 periodic, 83 phase, 84, 88, 94 polarized, 95, 96 sinusoidal, 84 Particle, 5 acceleration, 88
134
angular momentum, 19 conservation, 19, 21
displacement, 40
energy, 29
equation of motion, 95
point, 4
potential energy, 34
trajectory, 3
angular, 60
with zero rest mass, 126 Pendulum, 70, 82, 84
Foucault, 70
mathematical, 82
physical, 82
simple, 84 Period, 96
oscillations, 97
revolution, 77 Phase, 101
equilibrium, 101 Physics, 101 Pressure, 110
hydrostatic, 104 Principle, 104, 114, 116
Archimedes', 105
Einstein’s relativity, 116
Galileo’s relativity, 114
Pump, water-jet, 109
Reference frame, 41
inertial, 66
non-inertial, 65 Resistance, 97 Resonance, 97 Rotation, 9
axis, 10
instantaneous, 4 Rule 61
right-hand screw, 61
Space, 4, 21, 32, 48, 59, 76, 91, 104 Speed, 5, 134 Sphere, 26 State, 16, 34, 75
Stress, 69 System, 10
angular momentum, 25
momentum, 23
coordinate, 3
isolated, 21, 25
unclosed, 19 Tension, 48 Time
proper, 123
relaxation, 96 Trajectory, particle, 3 Transformations, 114, 119
Galilean, 114
Lorentz, 119 Tube, 107
Unit, 4, 16, 30, 70, 82 Vector, 5
acceleration, 6
amplitude, 87
derivative, 85
magnitude, 5
polar, 74
projection, 33
velocity, 4 Velocity, 85
addition, 124
angular, 8
cosmic, 76
escape, 76
first cosmic, 76
orbital, 129
second cosmic, 77
tangential, 77
third cosmic, 80 Viscosity, 106 Volume, 48, 50, 51
Weight, 76 Weightlessness, 76 Work, 30
centrifugal force of inertia, 71
conservative forces, 40
non-conservative forces, 33
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Санкт-Петербургскому горному университету
Учебное электронное издание
МУСТАФАЕВ А.С., ФИЛЯСОВА Ю.А.
A General Course of Physics
MECHANICS
Textbook
Публикуется в авторской редакции
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Санкт-Петербургский горный университет
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Адрес университета и РИЦ: 199106 Санкт-Петербург, 21-я линия, 2