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

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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

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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