A flat object in the xy -plane is free to rotate about the z -axis. The gravitational
Question:
(a) Show that the torques on the particles about the z -axis can be written ti = ˆ’ ximig.
(b) Show that if the center of gravity is located at (xCG, yCG), the total torque due to gravity on the object must be Σ(i = ˆ’ xCG Mg, where M is the total mass of the object.
(c) Show that xCG = xCM. (This same line of reasoning can be applied to objects that are not flat and to other axes of rotation to show that yCG = yCM and zCG = zCM.)
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Related Book For
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson
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