The area of the green section is 13,222 mm. It has the following moments of inertia with respect to the x- and y-axes: I,= 344 x 106 mm4= 507 x 106 mm4.andIyyy'100 mm119 mmDetermine the centroidal moments of inertia I,and J, in mm* and the corresponding radii of gyration k, ky, and ko in millimeters.4mm%D4mmmmKymmmmI| || ||

The area of the given green section is A=13,222 mm2. The moment of inertia of the given area about…

Answered: he area of the green section is 13,222…

he area of the green section is 13,222 mm². It has the following moments of inertia with respect to the x- and y-axes: I, = 344 × 10° mmª and I, = 507 × 10° mmª.

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 9.36P: Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin...

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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

The area of the green section is 13,222 mm. It has the following moments of inertia with respect to the x- and y-axes: I,
= 344 x 106 mm4
= 507 x 106 mm4.
and
Iy
y
y'
100 mm
119 mm
Determine the centroidal moments of inertia I,
and J, in mm* and the corresponding radii of gyration k, ky, and ko in millimeters.
4
mm
%D
4
mm
mm
Ky
mm
mm
I| || ||

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