Classical mechanics : an undergraduate text / R. Douglas Gregory.
Publication details: Cambridge, New York : Cambridge University Press, c2006.Description: xii, 596 p. : ill. ; 26 cmISBN:- 9780521534093
- 9780521826785
- 531 22 GRE.
Item type | Current library | Call number | Copy number | Status | Date due | Barcode |
---|---|---|---|---|---|---|
Book Closed Access | Engineering Library | 531 GRE. 1 (Browse shelf(Opens below)) | 1 | Available | BUML23080217 | |
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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