Problems and Solutions in Rotational Mechanics

• Autore: Sharma Pradeep Kumar
• Pubblicazione: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : , : IOP Publishing, , [2024]
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (790 pages)
• Disciplina: 531/.34
• Soggetto topico: Rotational motion; Rotational motion (Rigid dynamics); Dynamics & statics; SCIENCE / Mechanics / Dynamics
• Soggetto genere / forma: Problems and exercises.
• Note generali: "Version: 20241101"--Title page verso.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Outline placeholder -- Overview of the series -- Readership -- The common features of the series -- About this book -- How to use this book -- Acknowledgements -- Author biography -- Pradeep Kumar Sharma -- Chapter 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 -- 1.5.1 Method 1: ground frame method -- 1.5.2 Method 2: relative motion method -- 1.6 Angular acceleration and its calculation -- 1.6.1 The ground frame method -- 1.6.2 Relative motion method -- 1.6.3 Gyroscopic motion -- 1.7 Fixed axis rotation -- 1.7.1 Centroidal -- 1.7.2 Non-centroidal -- 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) -- 1.13.1 Calculation of the position of the IAR -- 1.14 Rotation about a point and gyroscopic motion -- Problems -- Calculation of the velocity and accelerations of rigid bodies -- Pure rotation: a pulley-belt system -- Combined motion -- Kinematics of rolling -- Instantaneous axis of rotation -- Chapter Torque and angular momentum for a point mass -- 2.1 Torque -- 2.1.1 Definition -- 2.1.2 Factors governing the torque -- 2.1.3 The mathematical expression of torque -- 2.1.4 Net torque when many forces act at a point -- 2.1.5 Torque about an axis -- 2.2 Angular momentum -- 2.2.1 Nomenclature -- 2.2.2 The magnitude of L⃗ -- 2.2.3 The direction of angular momentum -- 2.2.4 The concept of turning -- 2.2.5 The relation between angular momentum L and angular velocity ω -- Example 8 Turning of a particle moving in a straight line. ; 2.2.6 Angular momentum about an axis -- 2.3 Relation between torque and angular momentum -- 2.4 Conservation of the angular momentum of a particle -- Example 12 Variable MI of a particle -- Problems -- Torque and angular momentum for a point mass -- Chapter 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 -- 3.10.1 Discrete particle system -- 3.10.2 The moment of inertia due to continuous mass distribution -- 3.10.3 Parallel axis theorem -- 3.10.4 Perpendicular axis theorem -- 3.11 Newton's laws of motion of rigid bodies -- 3.11.1 Law of rotation -- 3.11.2 Law of translation -- 3.12 Equilibrium of rigid bodies -- 3.12.1 Translation of rigid bodies -- 3.12.2 Rotational equilibrium -- 3.13 Fixed axis rotation -- 3.13.1 Newton's law of rotation -- 3.13.2 Newton's law of translation -- 3.13.3 Kinematics -- 3.14 Dynamics of the combined motion of rigid bodies -- 3.14.1 Planner motion: Newton's law of rotation (torque equation) -- 3.14.2 Newton's law of translation (force equation) -- 3.15 Gyroscopic motion -- Problems -- Moment of inertia -- The equilibrium of rigid bodies and the concept of topping -- Fixed axis rotation -- Combined motion -- The dynamics of rolling bodies on a fixed horizontal surface -- A rolling body on a moving frame. ; The rolling body on an inclined plane -- Pulleys with connected bodies -- Chapter The energy of rigid bodies -- 4.1 The gravitational potential energy of rigid bodies -- 4.2 Kinetic energy of rigid of a body -- 4.2.1 Discrete mass distribution -- 4.2.2 Continuous mass distribution -- 4.2.3 Rotational and translational kinetic energy -- 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 -- 4.5.1 Net work done on a rigid body -- 4.5.2 Work-kinetic energy theorem -- 4.6 Conservation of energy of rigid bodies -- 4.7 Power delivered by a force acting on a rigid body -- Problems -- Fixed axis rotation -- Rolling bodies -- Rolling bodies on a curved surface -- Combined motion of a rod in a vertical plane -- Asymmetric rolling -- Chapter Impulse and momentum of rigid bodies -- 5.1 The linear momentum of a rigid body -- 5.2 Angular momentum of a rigid body -- 5.2.1 Spin angular momentum -- 5.2.2 Orbital angular momentum -- 5.2.3 Total angular momentum -- 5.3 The impulse-momentum equation -- 5.3.1 The linear impulse-momentum equation -- 5.3.2 The angular impulse-momentum equation -- 5.4 Conservation of angular momentum -- 5.5 The collision of rigid bodies -- 5.5.1 The collision of a particle with a rigid body -- 5.5.2 Collison of a rigid body with another rigid body -- Problems -- Conservation of the angular momentum of rolling bodies -- Variable moment of inertia -- Conservation of energy and angular momentum -- Inelastic impact by a connecting string -- The collision of particles with a rod.
• Sommario/riassunto: This book is an extensive resource covering many concepts and topics within rotational mechanics, including over more than four hundred 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.
• ISBN: 9780750364720; 0750364726; 9780750364706; 075036470X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9911154133903321
• Lo trovi qui: Univ. Federico II
• Serie: IOP ebooks. . -2024 collection.