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Elements of Mechanics [Hardback]

  • Formāts: Hardback, 268 pages, height x width: 240x160 mm, weight: 580 g, 150 line figures
  • Izdošanas datums: 01-Jan-1997
  • Izdevniecība: Oxford University Press
  • ISBN-10: 0198518811
  • ISBN-13: 9780198518815
Citas grāmatas par šo tēmu:
Elements of MechanicsPalielināt
  • Formāts: Hardback, 268 pages, height x width: 240x160 mm, weight: 580 g, 150 line figures
  • Izdošanas datums: 01-Jan-1997
  • Izdevniecība: Oxford University Press
  • ISBN-10: 0198518811
  • ISBN-13: 9780198518815
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9780198518815.html
Keywords:
The book provides the subject matter of first year University course in mechanics for students of physics and related subjects, e.g. engineering and "physics with ..." course. It would be used as well as the basis for an `A' level course in applied mathematics. It contains the principles introduced in an empirical way mixed in with examples with solutions and with exercises for which the solutions are given. The examples and exercises are applications of the principles whilst the solutions are illustrations of the technique to be used in applying those principles. The provision of solutions to all the problems should make it useful to students as a "self-help" and revision text, but it is NOT a programmed text. This book is intended for first-year undergraduate students of physics or physics-related subjects (e.g. engineering physics or "physics with ..." courses). Also suitable for A-level applied mathematics.
Mathematical aide-memoire xi
A preamble on dimensions and units 1(6)
Dimensional homogeneity of equations 1(2)
Dimensional analysis 3(1)
Units 4(3)
1 Position vectors
7(11)
1.1 Position coordinates
7(2)
1.2 Position vectors
9(1)
1.3 Vector addition and scalar product
10(8)
2 Velocity vectors
18(17)
2.1 Velocity
18(1)
2.2 Velocity as a vector
19(2)
2.3 Distance-time relations
21(5)
2.4 Position coincidence and closest approach
26(9)
3 Acceleration vectors
35(10)
3.1 Acceleration vectors
35(2)
3.2 Centripetal acceleration and angular velocity
37(2)
3.3 Position-velocity-time relations
39(6)
4 Centres of mass
45(16)
4.1 Inertial mass
45(1)
4.2 Discrete mass systems
46(2)
4.3 Laminas
48(3)
4.4 Continuous bodies
51(3)
4.5 The human frame
54(7)
5 Straight line motion
61(19)
5.1 Centre of mass velocity
61(1)
5.2 Linear momentum
62(1)
5.3 Force, impulse, and reactive force
63(2)
5.4 Kinetic energy
65(8)
5.5 Pressure and vector product
73(2)
5.6 Superposition of forces
75(5)
6 Energy conservation
80(13)
6.1 Elastic and inelastic collisions
80(1)
6.2 Energy conversion
81(1)
6.3 Potential energy and total energy
82(2)
6.4 Force fields
84(9)
7 Tensile forces and projectiles
93(20)
7.1 Tensile forces
93(2)
7.2 Electric and gravitational potential
95(1)
7.3 Bound and free states
96(5)
7.4 Projectiles
101(12)
8 Energy dissipation
113(12)
8.1 Resistive forces
113(1)
8.2 Friction
114(11)
9 Variable forces
125(23)
9.1 Variation of g with altitude
125(1)
9.2 Variable mass
126(3)
9.3 The linear oscillator
129(4)
9.4 Addition of harmonic motions
133(3)
9.5 Amplitude modulation
136(1)
9.6 Waves
137(2)
9.7 The damped linear oscillator
139(9)
10 Rotational motion--torque
148(19)
10.1 Motion about the centre of mass
148(1)
10.2 Equations of angular motion
149(2)
10.3 Moments of inertia
151(16)
11 Rotational motion--angular momentum I
167(12)
11.1 Vector angular momentum
167(1)
11.2 Total angular momentum
168(11)
12 Rotational motion--angular momentum II
179(28)
12.1 Polar equations of motion
179(3)
12.2 Angular momentum and impulse relations
182(5)
12.3 Some centrifugal forces produce torque!
187(2)
12.4 Principal axes
189(1)
12.5 Angular velocity components
190(3)
12.6 Kinetic energy of rotation
193(1)
12.7 Free body rotation
194(1)
12.8 Rotating frames of reference
195(1)
12.9 Coriolis and centrifugal forces
196(11)
Problems 207(8)
Answers to problems 215(30)
Appendix: Calculus 245(4)
Index 249