Author(s): Olsson, Martin G.; Barger, Vernon
Series: International series in pure and applied physics
Edition: 2nd ed
Publisher: McGraw-Hill
Year: 1995
Language: English
Pages: 418
City: New York, Taipei
Tags: Mechanics.
Content: Part 1 Linear motion: Newtonian theory
interactions
the drag racer - frictional force
sport parachuting - viscous force
archery - spring force
methods of solution
simple harmonic oscillator
damped harmonic motion
forced oscillator with damping resonance. Part 2 Energy conservation: potential energy
gravitational escape
small oscillations
three-dimensional motion - vector notation
conservation forces in three dimensions
motion in a plane
simple pendulum
coupled harmonic oscillators. Part 3 Lagrangian method: Lagrange's equations
some Lagrangian applications
the Lorentz force
mechanical constraints
Hamilton's equations. Part 4 Momentum conservation: rocket motion
frames of reference
elastic collisions - laboratory and center-of-mass systems
collisions of billiard balls
inelastic collisions
scattering cross sections. Part 5 Angular-momentum conservation: central forces
planetary motion
eccentricity vector
Kepler's laws
satellites and spacecraft
grand tours of the outer planets
Rutherford scattering. Part 6 Particles systems and rigid bodies: center of mass and the two-body problem
rotational equation of motion
rigid bodies - static equilibrium
statics and dynamics of a heavy string
rotations of rigid bodies
gyroscope effect
the boomerang
moments and produces of intertia
single-axis rotations
moments-of-intertia calculations
impulses and billiard shots
super-ball bounces. Part 7 Accelerated coordinate systems: transformation to moving coordinate frames
fictitious forces
motion on the earth
Foucault's pendulum
dynamical balance of a rigid body
principal axes and Euler's equations
the tennis racket theorem
the earth as a free symmetric top - external observer
spinning top, including gravity
slipping tops - rising and sleeping
the tippie-top. Part 8 Gravitation: attraction of a spherical body - Newton's theorem
the tides
gravity field of the earth. Part 9 Newtonian cosmology: the universe
virial theorem
dark matter
cosmology. Part 10 Non-linear mechanics and the approach to chaos: the anharmonic oscillator
the damped and driven anharmonic oscillator
numerical solutions. Part 11 Relativity: the relativity idea
Lorentz transformation
consequences of relativity
relativistic momentum and energy.
