Problems and solutions in particle mechanics /

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"Version: 20251001"--Title page verso.Includes bibliographical references.1. Vectors -- 1.1. Introduction -- 1.2. Definition of vectors -- 1.3. Representation of vectors -- 1.4. Types of vectors -- 1.5. Multiplication of a vector by a scalar -- 1.6. Addition of vectors -- 1.7. Subtraction of vectors -- 1.8. Scalar product of two vectors -- 1.9. Vector product of two vectors -- 1.10. Some fundamental laws of vector algebra -- 1.11. Condition for coplanar vectors -- 1.12. Derivative (differentiation) of a vector -- 1.13. Integration of a vector2. Motion in one dimension -- 2.1. Introduction -- 2.2. Position, displacement and distance -- 2.3. Velocity and speed3. Motion in two and three dimensions -- 3.1. Introduction -- 3.2. Position, velocity and acceleration -- 3.3. Tractory and its equations -- 3.4. Uniform accelerated motion in a plane -- 3.5. Projectile motion -- 3.6. Relative motion -- 3.7. Kinematics of circular motion -- 3.8. Curvilinear motion -- 3.9. Relative angular velocity -- 3.10. Equation of trajectory of one point relative to the other4. Newton's laws of motion of a particle -- 4.1. Introduction -- 4.2 Concept of force -- 4.3. Newton's laws of motion -- 4.4. Types of forces -- 4.5. Application of Newton's laws of motion -- 4.6. Constraint equations -- 4.7. Spring-particle system -- 4.8. String-particle system -- 4.9. Wedge-block system -- 4.10. Non-inertial frame and pseudo-force5. Friction -- 5.1. Introduction -- 5.2. Static friction -- 5.3. Kinetic friction -- 5.4. Mechanism of dry friction (micro-interpretation) -- 5.5. Angle of friction6. Dynamics of circular motion -- 6.1. Cause of curvilinear motion : centripetal force -- 6.2. Uniform circular motion -- 6.3. Non-uniform circular motion -- 6.4. Centrifugal force and rotating frame7. Work, energy, power -- 7.1. Introduction -- 7.2. Concept of energy and transfer of energy; mechanical work -- 7.3. Relation between work and kinetic energy -- 7.4. Work done by a variable force -- 7.5. Work done in a moving frame -- 7.6. Relation between work and potential energy -- 7.7. Conservative and non-conservative forces -- 7.8. Potential energy -- 7.9. Relation between conservative force and potential energy -- 7.10. Stability -- 7.11. Conservation of energy -- 7.12. Non-conservative forces and mechanical energy -- 7.13. Motion in a vertical circle -- 7.14. Power.Full-text restricted to subscribers or individual document purchasers.Mechanics is the backbone of physics, and particle mechanics is the most fundamental aspect. It has two parts; kinematics and dynamics. In this book, the first chapter (vectors) is specifically for dealing with all vector operations (addition, subtraction and multiplication). Kinematics is dealt with in another three chapters (general kinematics with basic definitions of velocity, acceleration etc). Then, in dynamics we have three chapters (Newton's laws, friction and circular motion). Newton's laws are applied to these mechanical systems with and without friction. Covering the topic in such detail will help students to master this fundamental topic, which in turn will allow them to grasp the other areas of physics more efficiently.Undergraduate students, as well as their lecturers and workshop organizers.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 physics educator in India possessing more than three decades of experience in physics education and research in training the aspirants of the Joint Entrance Examination conducted by prestigious Indian Institutes of Technology, popularly known as IIT-JEE. Many of his students also won gold and silver medals in national and international physics Olympiads. His vast experience as a potential teacher, team leader and head of the department in some premier institutes like Brilliant Tutorials (Chennai), FIIT-JEE Ltd (New Delhi), Narayana Group (Andhra and Telangana) etc, made him extend his service as a consultant physicist to mentor both students and teachers of reputed groups in India. He has authored bestselling study materials and five books known as GRB Understanding Physics for the entrance examinations. He has been associating as a research scholar of physics education, nanoscience, metaphysics and management in some Indian and foreign universities such as University of Oxford, University of Strathclyde, Sofia University, Indian Institutes of Technology (Patna) 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 currently busy in completing the problems and solutions of a series of six books which will be ready to publish very shortly. Also, he is planning to design a unique interactive study material in the mode of Active Teaching and Active Learning (ATAL) that will make the physics easier for the students to learn.Title from PDF title page (viewed on November 10, 2025).

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: .,

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

Language

English

ISBN/ISSN

9780750364423

Classification

539.7/2

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-

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Subject(s)

Particles (Nuclear physics)
Classical mechanics.
Mechanics
SCIENCE / Mechanics / Dynamics.

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Pradeep Kumar Sharma.

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