2. The brick shown below is formed by a rectangular prism with three cylindrical holes. The brick has a density of 2000 kg/m³ and a depth (not pictured) of 50 mm. Each cylindrical hole has a diameter of 50 mm. a. Calculate the total mass of the brick. b. Calculate the center of mass of the brick measured from Point O. You may do this by inspection (no work required). Calculate the moment of inertia of the body about an axis into the plane of the page and passing through Point O. C. y O each dim. 50 mm HHHH OOO DO 200 mm 100 mm

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.65P: Compute the principal centroidal moments of inertia for the plane area.
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2.
The brick shown below is formed by a rectangular prism with three cylindrical holes. The brick
has a density of 2000 kg/m³ and a depth (not pictured) of 50 mm. Each cylindrical hole has a diameter
of 50 mm.
a. Calculate the total mass of the brick.
b. Calculate the center of mass of the brick measured from Point O. You may do this by
inspection (no work required).
Calculate the moment of inertia of the body about an axis into the plane of the page and
passing through Point O.
C.
y
O
each dim. 50 mm
OOO
200 mm
100 mm
Transcribed Image Text:2. The brick shown below is formed by a rectangular prism with three cylindrical holes. The brick has a density of 2000 kg/m³ and a depth (not pictured) of 50 mm. Each cylindrical hole has a diameter of 50 mm. a. Calculate the total mass of the brick. b. Calculate the center of mass of the brick measured from Point O. You may do this by inspection (no work required). Calculate the moment of inertia of the body about an axis into the plane of the page and passing through Point O. C. y O each dim. 50 mm OOO 200 mm 100 mm
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