TY - BOOK AU - Sharma,Pradeep Kumar ED - Institute of Physics (Great Britain), TI - Problems and solutions in many-particle systems T2 - [IOP release $release] SN - 9780750364478 AV - QC174.17.P7 S537 2025eb PY - 2025///] CY - Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) PB - IOP Publishing KW - Many-body problem KW - Problems, exercises, etc KW - Classical mechanics KW - bicssc KW - SCIENCE / Mechanics / General KW - bisacsh N1 - "Version: 20250201"--Title page verso; Includes bibliographical references; 1. System of particles -- 1.1. Introduction -- 1.2. Definition of center of mass -- 1.3. Characteristics of center of mass -- 1.4. Calculation of position of center of mass (finding center of mass) -- 1.5. Work-energy theorem for a system of particles -- 1.6. Impulse and momentum equation for a system of particles -- 1.7. Advantages of center of mass frame -- 1.8. Application of impulse-momentum equation and work-energy theorem for a two-particle system -- 1.9. Application of impulse-momentum equation and work-energy theorem for many-particle system; 2. Collisions -- 2.1. Introduction -- 2.2. Definition -- 2.3. Impulsive force and impulse -- 2.4. Types of collision -- 2.5. Conservation of linear momentum in a collision -- 2.6. Energy consideration in collisions -- 2.7. Elastic collision -- 2.8. Elastic-oblique collision -- 2.9. Complete inelastic collision (e = 0) -- 2.10. General solution for head-on collision between two bodies -- 2.11. General solution for oblique inelastic impact of two smooth bodies; 3. Gravitation -- 3.1. Introduction -- 3.2. Kepler's laws -- 3.3. Newton's law of universal gravitation -- 3.4. Inertial and gravitational mass -- 3.5. Gravitational field and field intensity, superposition of gravitational field -- 3.6. Calculation of gravitational field intensity -- 3.7. Work done by gravity -- 3.8. Gravitational potential energy between two particles -- 3.9. Gravitational potential -- 3.10. Calculation of gravitational potential -- 3.11. Gravitational potential energy of a group of particles -- 3.12. Earth's gravitational field -- 3.13. Variation of [pipe] [right arrow] geff [pipe] and apparent weight -- 3.14. The motion of planets -- 3.15. Motion of planets and satellites in circular orbit -- 3.16. Escape velocity -- 3.17. Orbital velocity and nature of orbits of a satellite -- 3.18. Weightlessness -- 3.19. Earth as an inertial reference frame; 4. Fluid statics -- 4.1. Introduction -- 4.2. Fluids and solids -- 4.3. Definition of fluid statics -- 4.4. Density -- 4.5. Specific gravity (relative density) -- 4.6. Hydrostatic force -- 4.7. Hydrostatic pressure -- 4.8. Pressure in a non-accelerating liquid -- 4.9. Pressure due to many non-accelerating liquid layers -- 4.10. Hydrostatic pressure in a vertically accelerating liquid -- 4.11. Hydrostatic pressure in a horizontally accelerating liquid -- 4.12. Hydrostatic force on a flat surface -- 4.13. Hydrostatic force on a curved surface -- 4.14. Archimedes' principle -- 4.15. Application of archimedes' principle -- 4.16. Buoyant force in accelerating liquid -- 4.17. Hydrostatic torque -- 4.18. Pascal's law and its application; 5. Fluid dynamics -- 5.1. Definition of hydrodynamics -- 5.2. General characteristics of fluid flow -- 5.3. Streamline motion -- 5.4. Equation of continuity -- 5.5. Flux of [right arrow]v-field (0v) -- 5.6. Flux density -- 5.7. Equation of state of fluid motion -- 5.8. Bernoulli's theorem -- 5.9. Applications of Bernoulli's theorem and equation of continuity; 6. Properties of matter -- 6.1. Introduction -- 6.2. Elastic property -- 6.3. Hooke's law -- 6.4. Calculation of deformation -- 6.5. Elastic energy -- 6.6. Calculation of elastic energy -- 6.7. Viscosity -- 6.8. Newton's law of viscosity -- 6.9. Stoke's law -- 6.10. Surface tension -- 6.11. Molecular theory of surface tension -- 6.12. Measuring surface tension -- 6.13. Surface energy -- 6.14. Relation between surface tension and surface energy -- 6.15. Pressure difference across a liquid surface -- 6.16. Angle of contact -- 6.17. Capillary action; Full-text restricted to subscribers or individual document purchasers; Undergraduate students, as well as their lecturers and workshop organisers; Also available in print N2 - Many-particle systems play a fundamental role in physics where we encounter systems of molecules or systems of elementary particles in quantum field theory. Many-particle theories provide the basis for understanding the macroscopic behaviour of vast assemblies of interacting particles starting from their microscopic properties and leads to descriptions of entropy, statistical mechanics and fluid mechanics. Covering a wide range of topics and including more than 400 problems and solutions, this book is an ideal resource for students specialising in many-particle systems UR - https://iopscience.iop.org/book/mono/978-0-7503-6447-8 ER -