3. Show the calculations using integration. a) Determine the Area and the centroid of the shape. b) Find the Area Moment of Inertia about the X-axis using integration. Then find the Area Moment of Inertia about the x-x centroidal axis (x-bar) using the Parallel Axis Theorem.

3. Show the calculations using integration. a) Determine the Area and the centroid of the shape. b) Find the Area Moment of Inertia about the X-axis using integration. Then find the Area Moment of Inertia about the x-x centroidal axis (x-bar) using the Parallel Axis Theorem.

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 9.78P: The L806010-mm structural angle has the following cross-sectional properties:...

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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.

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Must solve all the questions. Solve all the subparts. Don't attempt partially. Otherwise leave it for other experts.

3. Show the calculations using integration.
.r
a) Determine the Area and the centroid of the shape.
b) Find the Area Moment of Inertia about the X-axis using
integration. Then find the Area Moment of Inertia about
the x-x centroidal axis (x-bar) using the Parallel Axis
Theorem.
c) Find the Area Moment of Inertia about the Y-axis using
integration. Then find the Area Moment of Inertia about
the y-y centroidal axis (y-bar) using the Parallel Axis
Theorem.
3.0 in
y = √√√x²³
3.0 in-
X

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