a a a
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Determine the moment of inertia of the composite area about the y-axis. Set a = 200 mm.

Transcribed Image Text:The image features a geometric diagram on a coordinate plane with the x-axis and y-axis labeled. The shape is a combination of a rectangle and a right triangle, both shaded in blue.
### Description of Shape:
1. **Rectangle**:
- Dimensions: The rectangle has a width of 2a and a height of a.
- It is positioned with one side aligned on the x-axis and another on the y-axis.
2. **Right Triangle**:
- Attached to the upper left side of the rectangle.
- The right angle of the triangle is on the y-axis, and it forms the top-left corner of the shape.
- The legs of the triangle are both of length a, fitting perfectly with the left side of the rectangle, which is also of length a.
### Axis and Measurements:
- **x-axis** and **y-axis**: The axes are clearly marked with the intersection right at the bottom corner of the shape.
- The measurements indicate that both the left and right sides of the shape have lengths labeled as "a," indicating equal partitioning.
This composite shape blends basic geometric elements, demonstrating principles such as area calculation and the Pythagorean theorem when examined for properties like perimeter or overall dimensions. This diagram effectively illustrates coordinate geometry and simple shape composition.
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