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Classical mechanics : an undergraduate text / R. Douglas Gregory.

By: Publication details: Cambridge, New York : Cambridge University Press, c2006.Description: xii, 596 p. : ill. ; 26 cmISBN:
  • 9780521534093
  • 9780521826785
Subject(s): DDC classification:
  • 531 22 GRE.
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Holdings
Item type Current library Call number Copy number Status Date due Barcode
Book Closed Access Book Closed Access Engineering Library 531 GRE. 1 (Browse shelf(Opens below)) 1 Available BUML23080217
Book Open Access Book Open Access Science and Education Library 531 GRE 2 (Browse shelf(Opens below)) 2 Available NAGL22040008

CONTENTS

1 The algebra and calculus of vectors

1.1 Vector and vector quantities
1.2 Linear operation
1.3 The scalar product
1.4 The vector product

2 Velocity, acceleration and scalar angular velocity

2.1 Straight line motion of a particle
2.2 General motion of particle
2.3 Particle motion in polar co-ordinates
etc

3 Newton's laws of motion and the law of gravitation

3.1 Newton's law of motion
3.2 Inertial frames and the law of inertial
3.3 The law of mutual interaction; mas and force
3.4 The law of multiple interactions
etc


4 Problems in particle dynamics

4.1 Rectilinear motion in a force field
4.2 Constrained rectilinear motion
4.3 Motion through a resisting medium
4.4 projectiles
etc

5 Linear oscillations

5.1 Body on spring
5.2 Classical simple harmonic motion
5.3 Damped simple harmonic motion
5.4 Driven motion
etc

6 Energy conservation

6.1 The energy principle
6.2 Energy conservation
6.3 General features of rectilinear motion
etc

7 Orbits in a central field

7.1 The one body problem- newton's equations
7.2 General nature of orbital motion
7.3 The path equation
7.4 Nearly circular orbits
etc

8 Non-linear oscillations and phase space

8.1 Periodic non-linear oscillations
8.2 The phase plane
8.3 The phase plane in dynamics
etc

9 The energy principle

9.1 Configurations and degrees of freedom
9.2 The energy principle for a system
9.3 Energy conservation
9.4 Kinetic energy of rigid body

10 The linear momentum principle

10.1 Linear momentum
10.2 The linear momentum principle
10.3 Motion of the centre of mass
etc

11 The angular momentum

11.1 The momentum of a force
11.2 Angular momentum
11.3 Angular momentum of a rigid body
11.4 The angular momentum principle
etc

12 Lagrange's equations and conservation principles

12.1 Constraints and constraint forces
12.2 Generalized coordinates
12.3 Configuration space
etc

13 The calculus of variations and Hamilton's principle

13.1 Some typical minimisation problems
13.2 The Euler-Lagrange equation
13.3 Variational principle
etc

14 Hamilton's Equations and phase space

14.1 Systems of first order ODEs
14.2 Legendre transforms
14.3 Hamilton's equations
etc

15 The general theory of small oscillations

15.1 Stable equilibrium and small oscillations
15.2 The approximate forms of T and V
15.3 The general theory of normal modes
etc

16 Vector angular velocity and rigid body kinematics

16.1 Rotation about a fixed axis
16.2 General rigid body kinematics

17 Rotating reference frames

17.1 Transformation formulae
17.2 Particle dynamics in a non-inertial frame
17.3 Motion relative to the earth
17.4 Multi-particle system in non-inertial frame

18 Tensor algebra and the inertial tensor

18.1 Orthogonal transformations
18.2 Rotated and reflected coordinates system
18.3 Scalars, vectors and tensors
18.4 Tensor algebra
etc

19 Problems in rigid body dynamics

19.1 Equations of rigid body dynamics
19.2 Motion of 'spheres'
19.3 The snooker ball
19.4 Free motion of bodies with axial symmetry
19.5 The spinning top
etc

Includes bibliography : p. 589 - 590 . _ Index : p. 591 - 596.

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