7) A uniform disk of radius R has a circular hole of radius R/2 removed as shown in the figure. Locate the center of mass with respect to the center of the original disk. (Hint: Treat the hole as an object of negative mass.) D R R/2
7) A uniform disk of radius R has a circular hole of radius R/2 removed as shown in the figure. Locate the center of mass with respect to the center of the original disk. (Hint: Treat the hole as an object of negative mass.) D R R/2
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A uniform disk of radius R has a circular hole of radius R/2 removed as shown in the figure.
Locate the center of mass with respect to the center of the original disk. (Hint: Treat the hole as
an object of negative mass.
This one picture hint negative mass show all work
Transcribed Image Text:7) A uniform disk of radius \( R \) has a circular hole of radius \( R/2 \) removed as shown in the figure. Locate the center of mass with respect to the center of the original disk. (Hint: Treat the hole as an object of negative mass.)
**Diagram Explanation:**
- The image shows a large circle, which is the original disk with radius \( R \).
- Inside this original disk, there is a smaller circle representing the hole with radius \( R/2 \).
- The center of the original disk is marked, and a line extends from this center to the center of the hole.
- The diagram visually represents how the smaller circle (hole) is positioned within the larger circle.
**Conceptual Overview:**
To find the center of mass of the modified disk (with the hole), you treat the mass of the removed section as negative. You calculate the new center of mass by considering the balance of the remaining mass of the disk against the "negative" mass of the hole.
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