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A robot arm is constructed in R3 by anchoring a rod of length 2 to the origin (using a

Vector Calculus | 4th Edition | ISBN: 9780321780652 | Authors: Susan J. Colley ISBN: 9780321780652 319

Solution for problem 5 Chapter 8.2

Vector Calculus | 4th Edition

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Vector Calculus | 4th Edition | ISBN: 9780321780652 | Authors: Susan J. Colley

Vector Calculus | 4th Edition

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Problem 5

A robot arm is constructed in R3 by anchoring a rod of length 2 to the origin (using a ball joint so that the rod may swivel freely) and attaching to the free end of the rod another rod of length 1 (which may also swivel freely; see Figure 8.8). Show that the set of states of this robot arm may be described by a smooth parametrized 4-manifold in R6.

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Chapter 8.2, Problem 5 is Solved
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Textbook: Vector Calculus
Edition: 4
Author: Susan J. Colley
ISBN: 9780321780652

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A robot arm is constructed in R3 by anchoring a rod of length 2 to the origin (using a