The spatial dyad consisting of lines i and j are connected by a spherical joint modeled mathematically
Question:
The spatial dyad consisting of lines i and j are connected by a spherical joint modeled mathematically by the transformation J_{S} where L_{s} = 0, L_{y} = 50.8mm , phi_{z} = 30 degrees , phi_{x} = 30 degrees , psi_{z} = 30 degrees .
( a ) Determine the transformation Euler rotation ad resultant transformation defining the link I and the spherical joint between links i and j ( 9 marks )
( b) If P ^ j = [10, 10, 10] ^ T * mm , determine the position vector If with respect to body i axes of references .
( c) Determine the position vectors of Q ^ i = [30, 25, 15] ^ T * mm * R ^ i = [5, - 20, 10] ^ T * mm respect to body j axes of references .
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell