This is a video supplement to the book "Modern Robotics: Mechanics, Planning, and Control," by Kevin Lynch and Frank Park, Cambridge University Press 2017. See http://modernrobotics.org for information on the book, free software, and other materials.
This video introduces Chapter 12 of "Modern Robotics" on grasping and other types of manipulation. Examples of non-grasping (nonprehensile) manipulation include pushing, carrying a tray of glasses, vibratory transport, and the meter-stick trick. Such manipulation tasks are analyzed based on contact kinematics, contact forces, and rigid-body dynamics. This video also introduces the definitions of the linear span, positive (conical) span, and convex span of a set of vectors, concepts that are commonly used in robot manipulation.
This video is a brief summary of material from the book, and it is not meant to stand alone. For more details, such as an explanation of the notation, please consult the book and the other videos.
Playlist for Chapter 12: https://www.youtube.com/playlist?list=PLggLP4f-rq03J3TLUyIW0ZGfejrTjHayw
Playlist for all book videos: https://www.youtube.com/playlist?list=PLggLP4f-rq02vX0OQQ5vrCxbJrzamYDfx
YouTube channel with all playlists: https://www.youtube.com/user/kevinl2145
Wiki for the book, including software and other supplements: http://modernrobotics.org
Modern Robotics is now a series of online courses on Coursera! https://www.coursera.org/specializations/modernrobotics