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Title Теоретическая механика. Кинематика точки и твердого тела. Теория и примеры решения задач: учебное пособие на английском языке
Creators Костарев Алексей Владимирович ; Костарева Татьяна Алексеевна
Organization Санкт-Петербургский политехнический университет Петра Великого
Imprint Санкт-Петербург, 2025
Collection Учебная и учебно-методическая литература ; Общая коллекция
Subjects Кинематика точки ; Твердые тела — Кинематика ; kinematics ; rigid body ; vector methods ; Euler’s formula ; angular velocity ; учебники и пособия для вузов
UDC 531.12(075.8)
Document type Tutorial
File type PDF
Language English
Speciality code (FGOS) 15.03.01
Speciality group (FGOS) 150000 - Машиностроение
DOI 10.18720/SPBPU/5/tr25-130
Rights Свободный доступ из сети Интернет (чтение, печать, копирование)
Additionally New arrival
Record key RU\SPSTU\edoc\76537
Record create date 7/15/2025

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This manual provides a comprehensive study of particle and rigid body kinematics, presenting both theoretical foundations and practical methods for motion analysis. The material covers various approaches to describing the motion of particles, including vector and coordinate methods for determining velocity and acceleration, as well as the natural method. Solutions to typical kinematics problems are illustrated, with the inclusion of interactive Excel-based assignments to reinforce understanding. The manual further explores the kinematics of rigid bodies, detailing Euler's formula, angular velocities, and the distribution of velocities and accelerations using pole and instantaneous center methods. Both translational and rotational motions are addressed, along with the composition of motions in mechanisms and gear systems, such as differential and planetary gears. The text concludes with discussions on resultant motion, including absolute, relative, and Coriolis acceleration, supported by examples and computational exercises. This resource is designed for students and professionals seeking a thorough grasp of modern kinematics techniques applicable to engineering and physics problems.

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  • TABLE OF CONTENTS
  • Kinematics of particle
  • Kinematics of rigid body
  • Resultant rotation of rigid body
  • Spherical motion of the body
  • Free movement of the body
  • Resultant motion of particle

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