Problems and solutions in rotational mechanics /

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"Version: 20241101"--Title page verso.Includes bibliographical references.1. Kinematics of rotation -- 1.1. Definition of a rigid body -- 1.2. Translation of a rigid body -- 1.3. Angular motion or rotation of a rigid body -- 1.4. Angular velocity of a rigid body -- 1.5. Calculation of the angular velocity -- 1.6. Angular acceleration and its calculation -- 1.7. Fixed axis rotation -- 1.8. Combined motion -- 1.9. Finding the velocity and acceleration of a point of a rigid body under combined motion -- 1.10. The kinematics of rolling -- 1.11. General kinematical misconceptions -- 1.12. Kinematical equations for uniform angular acceleration -- 1.13. The instantaneous axis of rotation (IAR) -- 1.14. Rotation about a point and gyroscopic motion2. Torque and angular momentum for a point mass -- 2.1. Torque -- 2.2. Angular momentum -- 2.3. Relation between torque and angular momentum -- 2.4. Conservation of the angular momentum of a particle3. The statics and dynamics of rotation -- 3.1. Torque acting on a group/system of particles -- 3.2. Torque about the center of mass -- 3.3. The angular momentum of a system of particles -- 3.4. Angular momentum of a two-particle system about the center of mass -- 3.5. The relation between the relative and absolute values of angular momentum relative to two coinciding reference frames -- 3.6. The relation between torque and angular momentum -- 3.7. Newton's laws for a system of particles -- 3.8. Conservation of the angular momentum of a system of particles -- 3.9. The angular momentum of a rigid body about the center of mass -- 3.10. The moment of inertia and its calculation -- 3.11. Newton's laws of motion of rigid bodies -- 3.12. Equilibrium of rigid bodies -- 3.13. Fixed axis rotation -- 3.14. Dynamics of the combined motion of rigid bodies -- 3.15. Gyroscopic motion4. The energy of rigid bodies -- 4.1. The gravitational potential energy of rigid bodies -- 4.2. Kinetic energy of rigid of a body -- 4.3. The kinetic energy of rolling bodies on a fixed surface -- 4.4. Work done by a force on a rigid body -- 4.5. The work-energy theorem for rigid bodies -- 4.6. Conservation of energy of rigid bodies -- 4.7. Power delivered by a force acting on a rigid body5. Impulse and momentum of rigid bodies -- 5.1. The linear momentum of a rigid body -- 5.2. Angular momentum of a rigid body -- 5.3. The impulse-momentum equation -- 5.4. Conservation of angular momentum -- 5.5. The collision of rigid bodies.Full-text restricted to subscribers or individual document purchasers.Rotational mechanics is a challenging area in mechanics because the knowledge of many concepts is required to solve a single problem. Rotational motion is also extremely important in mechanical devices. In every case, the rotation of an extended, rigid body can be mathematically described as a collection of circular motions by the particles making up the body relative to the axis of rotation. Two very important quantities for dealing with such collections of particles in rotation are the dynamics of rolling, rotational kinetic energy, and the angular momentum. Covering a wide range of topics and including more than 400 examples and problems with solutions, this book is an ideal resource for aspiring students looking to master the concepts of rotational mechanics, as well as lecturers looking to extend their class content.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 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 December 13, 2024).

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: .,

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

Language

English

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9780750364720

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531/.34

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Subject(s)

Rotational motion
SCIENCE / Mechanics / Dynamics.
Rotational motion (Rigid dynamics)
Dynamics & statics.
Problems and exercises.

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Pradeep Kumar Sharma.

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