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A cube of a material that is defined in the first octant with x-length 20mm, y-length 30mm and z-length 40mm has density given by p = (24 - 3x² - zy) g/cm³. Calculate its centre of mass.

A cube of a material that is defined in the first octant with x-length 20mm, y-length 30mm and z-length 40mm has density given by p = (24 - 3x² - zy) g/cm³. Calculate its centre of mass.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A cube of a material that is defined in the first octant with x-length 20mm, y-length 30mm and z-length 40mm has density given by p= (24 - 3x² - zy) g/cm³. Calculate its centre of mass. Evaluate the following line integral where C is the circle parallel to the yz-plane, centred on (x, y, z) = (-3, 0, 0), in the anticlockwise direction. $² 2³(x + 7) - 2y ds Sub
Transcribed Image Text:A cube of a material that is defined in the first octant with x-length 20mm, y-length 30mm and z-length 40mm has density given by p= (24 - 3x² - zy) g/cm³. Calculate its centre of mass. Evaluate the following line integral where C is the circle parallel to the yz-plane, centred on (x, y, z) = (-3, 0, 0), in the anticlockwise direction. $² 2³(x + 7) - 2y ds Sub
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