1. Given the composite member shown below. Find the following: (a) the location of the horizontal centroidal axis, Y- bar (in.), from the bottom of the composite member, and (b) the moment of inertia, 1* (in 4), of the composite member with respect to the horizontal centroidal axis. (a) the location of the horizontal centroidal axis, Y- bar = in. (b) the moment of inertia, 1* = 4 5 in. 2 in. 1 in. 1 in. 3 in. 1 in. in

1. Given the composite member shown below. Find the following: (a) the location of the horizontal centroidal axis, Y- bar (in.), from the bottom of the composite member, and (b) the moment of inertia, 1* (in 4), of the composite member with respect to the horizontal centroidal axis. (a) the location of the horizontal centroidal axis, Y- bar = in. (b) the moment of inertia, 1* = 4 5 in. 2 in. 1 in. 1 in. 3 in. 1 in. in

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

1. Given the composite member shown below. Find
the following:
(a) the location of the horizontal centroidal axis, Y-
bar (in.), from the bottom of the composite member,
and
(b) the moment of inertia, 1* (in 4), of the
composite member with respect to the horizontal
centroidal axis.
(a) the location of the horizontal centroidal axis, Y-
bar =
in.
(b) the moment of inertia, 1* =
4
5 in.
2 in.
1 in.
1 in.
3 in.
1 in.
in

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Step 2: Calculation of dividend areas of composite material

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Step 3: Calculation of the location of horizontal centroidal axis

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Step 4: Calculation of Moment of inertia of rectangle 1 and 2

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Step 5: Calculation of moment of inertia of rectangle 3 and composite material w.r.to centroidal horizontal

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