Problems and solutions in many-particle systems /

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"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 system2. 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 bodies3. 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 frame4. 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 application5. 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 continuity6. 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.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.Undergraduate students, as well as their lecturers and workshop organisers.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Pradeep Kumar Sharma is a well-known physics author and educator in India. He served in many premier institutes like Brilliant Tutorials, (Chennai), FIIT-JEE Ltd (New Delhi), Narayana Group (Andhra and Telangana) etc. He has been associating as a research scholar of physics education, nanoscience, management and metaphysics in some Indian and foreign universities such as Oxford University, Strathclyde University, Indian Institute of Technology, Patna, Sofia University etc. Furthermore, he is continuing his research while affiliated with various national and international organizations such as IEEE (USA), IET (UK), IE(I), IOP(UK) etc. He has published dozens of papers in national and international journals like IEEE-Scopus journals and journals published by Institute of Physics (UK). He is actively involved with a team of top-notch educators, to design a new method of interactive education called Active Teaching and Active Learning (ATAL) that will make the things easy for an average student to learn physics.Title from PDF title page (viewed on February 1, 2025).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

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9780750364478

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530.14/4

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Subject(s)

Classical mechanics.
SCIENCE / Mechanics / General.
Many-body problem.
Many-body problem

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Pradeep Kumar Sharma.

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