EXERCISE 5.16 The origin of the xyz coordinate system coincides with the centroid of the upper face of the box. The mass of the box is 10 kg. Determine Ix, Iyy, and Ixy as functions of 0. Rectangular parallelepiped b/2 az G F02 102 m= pabe, kxx = 1/2m (b² + ² + c²), Iyy = = = m(a² + c²), Iz = 1/2m (a² + b² 20 mm 80 mm. 40 mm

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
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EXERCISE 5.16 The origin of the xyz coordinate system coincides with the centroid of the upper
face of the box. The mass of the box is 10 kg. Determine Ixx, Iyy, and Ixy as
functions of 0.
Rectangular parallelepiped
b/2
as
b/2
G
az
F02
fc2
m = pabc,
Lxx = 1/2m (b²+ c²), Iyy = 1/2m(a² + c²), z =
- 1/2m (a² + b²).
20 mm
80 mm-
40 mm
·x
Transcribed Image Text:EXERCISE 5.16 The origin of the xyz coordinate system coincides with the centroid of the upper face of the box. The mass of the box is 10 kg. Determine Ixx, Iyy, and Ixy as functions of 0. Rectangular parallelepiped b/2 as b/2 G az F02 fc2 m = pabc, Lxx = 1/2m (b²+ c²), Iyy = 1/2m(a² + c²), z = - 1/2m (a² + b²). 20 mm 80 mm- 40 mm ·x
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