Using the figure shown below, determine the following: a. Centroid of the given figure with respect to reference axesb. Centroid of the line with respect to reference axesc. Location of the center of gravityd. Moment of inertia with respect to the reference X and Y axis.e. Moment of inertia with respect to centroidal X and Y axis.f. Section modulus with respect to X-axis g. Polar moment of inertiah. Polar radius of gyration Y90mm90mm45°X30mm Using the figure shown below, determine the following:a. Centroid of the given figure with respect to reference axesb. Centroid of the line with respect to reference axesc. Location of the center of gravityd. Moment of inertia with respect to the reference X and Y axis.e. Moment of inertia with respect to centroidal X and Y axis.f. Section modulus with respect to X-axisg. Polar moment of inertiah. Polar radius of gyration90mm90mm45°30mm30mm

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Using the figure shown below, determine the following: a. Centroid of the given figure with respect to reference axes b. Centroid of the line with respect to reference axes c. Location of the center of gravity

Using the figure shown below, determine the following: a. Centroid of the given figure with respect to reference axes b. Centroid of the line with respect to reference axes c. Location of the center of gravity

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 9.64P: 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.

Question

Using the figure shown below, determine the following:

a. Centroid of the given figure with respect to reference axes

b. Centroid of the line with respect to reference axes

c. Location of the center of gravity

d. Moment of inertia with respect to the reference X and Y axis.

e. Moment of inertia with respect to centroidal X and Y axis.

f. Section modulus with respect to X-axis g. Polar moment of inertia

h. Polar radius of gyration

Using the figure shown below, determine the following:
a. Centroid of the given figure with respect to reference axes
b. Centroid of the line with respect to reference axes
c. Location of the center of gravity
d. Moment of inertia with respect to the reference X and Y axis.
e. Moment of inertia with respect to centroidal X and Y axis.
f. Section modulus with respect to X-axis
g. Polar moment of inertia
h. Polar radius of gyration
90mm
90mm
45°
30mm
30mm

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