Three cubes of side length Lo, 2Lo, and 3Lo are stacked along the r axis as shown in the igure below. All three cubes are made of the same, uniform material. What is the center of mass of this system? x = 0

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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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**Question:**

Three cubes of side length \(L_0\), \(2L_0\), and \(3L_0\) are stacked along the \(x\) axis as shown in the figure below. All three cubes are made of the same, uniform material. What is the center of mass of this system?

**Diagram Explanation:**

The diagram shows three cubes placed along the \(x\)-axis with their faces touching. The smallest cube, with side length \(L_0\), is positioned at the origin where \(x = 0\). The cube with side length \(2L_0\) is adjacent to the first cube, and the largest cube, with side length \(3L_0\), is placed next to the second cube. Dots within each cube likely indicate the center of mass for each individual cube. The \(x\)-axis runs horizontally through all the cubes, passing through their centers. 

Labeling on the diagram includes: 

- \(x = 0\) at the origin.
- Distances marked along the \(x\)-axis include \(L_0\), \(2L_0\), and \(3L_0\), indicating the length of each cube.
Transcribed Image Text:**Question:** Three cubes of side length \(L_0\), \(2L_0\), and \(3L_0\) are stacked along the \(x\) axis as shown in the figure below. All three cubes are made of the same, uniform material. What is the center of mass of this system? **Diagram Explanation:** The diagram shows three cubes placed along the \(x\)-axis with their faces touching. The smallest cube, with side length \(L_0\), is positioned at the origin where \(x = 0\). The cube with side length \(2L_0\) is adjacent to the first cube, and the largest cube, with side length \(3L_0\), is placed next to the second cube. Dots within each cube likely indicate the center of mass for each individual cube. The \(x\)-axis runs horizontally through all the cubes, passing through their centers. Labeling on the diagram includes: - \(x = 0\) at the origin. - Distances marked along the \(x\)-axis include \(L_0\), \(2L_0\), and \(3L_0\), indicating the length of each cube.
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