Consider a flat piece of sheet metal located on the (x, y) plane and rotating about the
Fantastic news! We've Found the answer you've been seeking!
Question:
Consider a flat piece of sheet metal located on the (x, y) plane and rotating about the zˆ axis. Do not take the thickness into account. (a) Which entries of the inertia tensor are equal to zero?(b) Verify that the following relation holds: Izz = Ixx + Iyy. (c) Verify that ˆz is a principal axis. Hint: show that if the angular velocity is aligned with zˆ the same goes for the angular momentum. (d) Now assume that the sheet metal has the shape of a thin disk with uniform mass density, radius R, mass m and compute Ixx, Iyy and Izz.
Related Book For
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
Posted Date: