Homework 2 Problems with Solutions - Machine Dynamics | MANE 4170, Study notes of Mechanical Engineering

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HW#2, Machine Dynamics, MANE 4170-01 Instructor: Prof. Mohammad Poursina, Due Date: Tuesday Feb. 5, 2013 Name: RIN: 1. The rectangular box is supported from the ceiling by a ball-and-socket joint. Commencing from the position shown, the box is given a rotation about the fixed X axis of 60 degrees, followed by a rotation about the fixed Z axis of —120 degrees. It is desired to determine a rotation about a single axis that is equivalent to the rotations specified. Determine the orientation of that axis and the angle of rotation about that axis. 2. Starting from the position shown, the box is rotated by angle 40° about the face diagonal AB, clockwise as viewed from corner B toward corner A. Determine the coordinates of corner C relative to the fixed reference frame XYZ after this rotation. x a A B 15 mm D 50mm % mo a c