1 Space time and motion. - What is motion?. - Frames of reference. - Coordinate systems. - Combination of vector displacements. - Scalar product of vectors. - Units and standards of length and time. - Velocity. - Relative velocity and relative motion. - Acceleration. - Straight-line motion. - Uniform circular motion. - Velocity and acceleration in polar coordinates. - Problems. - 2 Forces. - Forces in equilibrium. - Action and reaction in the contact of objects. - Rotational equilbrium: torque. - Inertia. - Force and inertial mass: Newton's second law. - Some comments on Newton's second law. - The invariance of Newton's second law; relativity. - Concluding remarks. - Problems. - 3 Using Newton's laws. - Some examples of F = ma. - Circular paths of charged particles in uniform magnetic fields. - The fracture of rapidly rotating objects. - Motion against resistive forces. - Detailed analysis of resisted motion. - Motion governed by viscosity. - Growth and decay of resisted motion. - Simple harmonic motion. - Problems. -4 Universal gravitation. - The discovery of universal gravitation. - Kepler's third law. - The moon and the apple. - The gravitational attraction of a large sphere. - Other satellites of the earth. - The value of G and the mass of the earth. - Local variations of g. - Inertial and gravitational mass. - Weight. - Weightlessness. - The discovery of Neptune. - Gravitation outside the solar system. - Einstein's theory of gravitation. - Problems. - 5 Collisions and conservation laws. - The conservation of linear momentum. - Action reaction and impulse. - Extending the principle of momentum conservation. - Jet propulsion. - Rockets. - The zero-momentum frame. - Kinetic energy of a two-body system. - Kinetic energy changes in collisions. - Interacting particles subject to external forces. - The neutrino. - Problems. - 6 Energy conservation in dynamics; vibrational motions. - Work energy and power. - Energy conservation in one dimension. - The energy method for one-dimensional motions. - Some examples of the energy method. - The harmonic oscillator by the energy method. - Small oscillations in general. - The linear oscillator as a two-body problem. - Problems. - 7 Conservative forces and motion in space. - Extending the concept of conservative forces. - Object moving in a vertical circle. - The simple pendulum. - The pendulum as a harmonic oscillator. - The simple pendulum with larger amplitude of swing. - Universal gravitation: a conservative central force. - A gravitating spherical shell. - A gravitating sphere. - Escape speeds. - More about the criteria for conservative forces. - Fields. - Motion in conservative fields. - The effect of dissipative forces. - Problems. - 8 Inertial forces and non-inertial frames. - Motion observed from unaccelerated frames. - Motion observed from an accelerated frame. - Accelerated frames and inertial forces. - Accelerating frames and gravity. - Centrifugal force. - General equation of motion in a rotating frame. - The earth as a rotating reference frame. - The tides. - Tidal heights; effectof the sun. - The search for a fundamental inertial frame. - Problems. - 9 Motion under central forces. - Basic features of the problem. - The conservation of angular momentum. - Energy conservation in central force motions. - Use of the effective potential-energy curves. - Bounded orbits. - Unbounded orbits. - Circular orbits in an inverse-square force field. - Elliptic orbits: analytical treatment. - Energy in an elliptic orbit. - Possible orbits under a 1/r2 force. - Rutherford scattering. - Problems. - 10 Extended systems and rotational dynamics. - Momentum and kinetic energy of a many-particle system. - Angular momentum. - Angular momentum as a fundamental quantity. - Conservation of angular momentum. - Moments of inertia of extended objects. - Two theorems concerning moments of inertia. - Kinetic energy of rotating objects. - Angular momentum conservation and kinetic energy. - Torsional oscillations and rigid pendulums. - Linear and rotational motions combined. - Background to gyroscopic motion. - Gyroscopein steady precession. - Atoms and nuclei as gyroscopes. - The precession of the equinoxes. - Problems. - Solutions to problems. Language: English