You have a disk of radius R with a circular hole of radius r cut a distance a from the center of the disk, as shown in (Figure 1).

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Chapter1: Units, Trigonometry. And Vectors
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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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Locate the disk's center of mass.

**Text Transcription:**

You have a disk of radius \( R \) with a circular hole of radius \( r \) cut a distance \( a \) from the center of the disk, as shown in (Figure 1).

**Figure Explanation:**

The diagram is a two-dimensional representation of a circular disk with a smaller circular hole. The main features of the diagram are:

- **Large Circle (Disk):** This circle has a radius denoted as \( R \), representing the overall size of the disk.
  
- **Small Circle (Hole):** This circle, which represents the hole, has a radius \( r \). It is located inside the larger disk.

- **Distance \( a \):** This is the distance from the center of the large disk to the center of the small hole.

- **Axes:**
  - The diagram includes an \( x \)- and \( y \)-axis, intersecting at the center of the larger disk, which provides orientation.
  
- **Placement:** The hole is offset from the center, as indicated by the line measuring the distance \( a \).

**Color and Orientation:**

- The larger disk is colored orange, while the hole remains white, indicating it is cut out.

- The orientation shows the center of the larger disk as the origin of the coordinate system.

The figure helps visualize the spatial arrangement and dimensions involved in the problem described.
Transcribed Image Text:**Text Transcription:** You have a disk of radius \( R \) with a circular hole of radius \( r \) cut a distance \( a \) from the center of the disk, as shown in (Figure 1). **Figure Explanation:** The diagram is a two-dimensional representation of a circular disk with a smaller circular hole. The main features of the diagram are: - **Large Circle (Disk):** This circle has a radius denoted as \( R \), representing the overall size of the disk. - **Small Circle (Hole):** This circle, which represents the hole, has a radius \( r \). It is located inside the larger disk. - **Distance \( a \):** This is the distance from the center of the large disk to the center of the small hole. - **Axes:** - The diagram includes an \( x \)- and \( y \)-axis, intersecting at the center of the larger disk, which provides orientation. - **Placement:** The hole is offset from the center, as indicated by the line measuring the distance \( a \). **Color and Orientation:** - The larger disk is colored orange, while the hole remains white, indicating it is cut out. - The orientation shows the center of the larger disk as the origin of the coordinate system. The figure helps visualize the spatial arrangement and dimensions involved in the problem described.
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