**Text:**Determine the percent reductions in both area and area moment of inertia about the y-axis caused by removal of the rectangular cutout from the rectangular plate of base \( b \) and height \( h \).**Diagram Explanation:**The diagram illustrates a rectangular plate from which a rectangular cutout has been removed. The main features of the diagram are:- The overall height of the rectangular plate is labeled as \( h \).- The height of the cutout section at the top and bottom is \( 0.24h \) each.- The total width of the plate is denoted as \( b \).- The width of the cutout is \( 0.60b \).Axes labeled \( x \) and \( y \) are shown to indicate the orientation.**Answers:**- Percent reduction in area: \( \eta_A = \) [input box] %- Percent reduction in area moment of inertia: \( \eta_{I_y} = \) [input box] %

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Determine the percent reductions in both area and area moment of inertia about the y-axis caused by removal of the rectangular cutout from the rectangular plate of base b and height h. y 0.24h h 0.24h -0.60b-

Determine the percent reductions in both area and area moment of inertia about the y-axis caused by removal of the rectangular cutout from the rectangular plate of base b and height h. y 0.24h h 0.24h -0.60b-

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 9.43P

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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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**Text:**

Determine the percent reductions in both area and area moment of inertia about the y-axis caused by removal of the rectangular cutout from the rectangular plate of base \( b \) and height \( h \).

**Diagram Explanation:**

The diagram illustrates a rectangular plate from which a rectangular cutout has been removed. The main features of the diagram are:

- The overall height of the rectangular plate is labeled as \( h \).
- The height of the cutout section at the top and bottom is \( 0.24h \) each.
- The total width of the plate is denoted as \( b \).
- The width of the cutout is \( 0.60b \).

Axes labeled \( x \) and \( y \) are shown to indicate the orientation.

**Answers:**

- Percent reduction in area: \( \eta_A = \) [input box] %
- Percent reduction in area moment of inertia: \( \eta_{I_y} = \) [input box] %

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