A uniform rectangular plate of length B = 39 cm and height A = 19 cm has a rectangular corner cut out of it of length D = 9 cm and height C = 8 cm. The plate is made of a material of area mass density σ. For this problem we set the origin at the lower left corner of the plate with the x-axis horizontal pointing right and the y-axis vertical pointing up.A. Calculate the value of the y-coordinate, in centimeters, for the center of mass of the plate. B. Calculate the value of the x-coordinate, in centimeters, for the center of mass of the plate. The image is a graphical representation of two connected rectangular areas sharing a common edge. Here's a detailed explanation:1. **Rectangular Areas**: - The smaller rectangle is positioned vertically on top of the larger rectangle. - The larger rectangle extends horizontally.2. **Labels**: - **A**: Located at the bottom left corner, intersecting the vertical and horizontal axes. - **B**: Positioned at the bottom right corner of the larger rectangle along the horizontal axis. - **C**: Marks the top left corner of the smaller rectangle. - **D**: Marks the top right corner of the larger rectangle.3. **Dashed Line**: - Extends horizontally from point A towards point C, indicating the base of the vertical rectangle.4. **Color Gradient**: - Both rectangles display a gradient from green to blue.5. **Axes**: - The left and bottom sides form the axes on which the rectangles rest.This diagram might be used to illustrate concepts such as area addition or demonstrate a physical system, with dimensions or forces labeled.

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Answered: A uniform rectangular plate of length B…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A uniform rectangular plate of length B = 39 cm and height A = 19 cm has a rectangular corner cut out of it of length D = 9 cm and height C = 8 cm. The plate is made of a material of area mass density σ. For this problem we set the origin at the lower left corner of the plate with the x-axis horizontal pointing right and the y-axis vertical pointing up.

A. Calculate the value of the y-coordinate, in centimeters, for the center of mass of the plate.

B. Calculate the value of the x-coordinate, in centimeters, for the center of mass of the plate.

The image is a graphical representation of two connected rectangular areas sharing a common edge. Here's a detailed explanation:

1. **Rectangular Areas**:
- The smaller rectangle is positioned vertically on top of the larger rectangle.
- The larger rectangle extends horizontally.

2. **Labels**:
- **A**: Located at the bottom left corner, intersecting the vertical and horizontal axes.
- **B**: Positioned at the bottom right corner of the larger rectangle along the horizontal axis.
- **C**: Marks the top left corner of the smaller rectangle.
- **D**: Marks the top right corner of the larger rectangle.

3. **Dashed Line**:
- Extends horizontally from point A towards point C, indicating the base of the vertical rectangle.

4. **Color Gradient**:
- Both rectangles display a gradient from green to blue.

5. **Axes**:
- The left and bottom sides form the axes on which the rectangles rest.

This diagram might be used to illustrate concepts such as area addition or demonstrate a physical system, with dimensions or forces labeled.

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