Problem 2.1 Given: A graduated cylinder filled with water. A cube is dropped into the cylinder and the water rises. See Figure 2. The cube is only partially submerged. The length of a side of the cube is 3.7 cm. Assume the specific weight of water is 9.81 kN/m3 Required: a) What is the density of the cube? b) What is the specific gravity of the cube? c) Where is the vertical CG of the cube based on SWL? Where is the vertical center of buoyancy based on SWL

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Chapter1: Units, Trigonometry. And Vectors
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Problem 2.1
Given: A graduated cylinder filled with water. A cube is dropped into the cylinder and the water rises. See Figure 2. The cube is only partially submerged. The length of a side of the cube is 3.7 cm. Assume the specific weight of water is 9.81 kN/m3
Required:

a) What is the density of the cube?
b) What is the specific gravity of the cube?
c) Where is the vertical CG of the cube based on SWL? Where is the vertical center of buoyancy based on SWL?

**Educational Website Content: Measuring Volume Displacement**

The image shows two sets of beaker diagrams, each labeled as Figure 1 and Figure 2, illustrating the principle of volume displacement.

**Figure 1:**

- **Left Beaker:**
  - This beaker contains water filled up to the 100 mL mark.
  - The scale on the beaker is marked from 0 to 250 mL, with increments every 10 mL.

- **Right Beaker:**
  - A rock is submerged in the water, displacing the liquid to the 150 mL mark.
  - This illustrates how the volume of the rock can be determined by measuring the difference in water levels (150 mL - 100 mL), indicating that the rock has a volume of 50 mL.

**Figure 2:**

- **Left Beaker:**
  - Water is initially filled to the 150 mL mark, as shown on the beaker's scale.

- **Right Beaker:**
  - A cube is submerged, causing the water level to rise to the 200 mL mark.
  - The volume of the cube is determined by the difference in water levels (200 mL - 150 mL), indicating that the cube has a volume of 50 mL.

These diagrams demonstrate how objects can displace a liquid in a container, allowing for the calculation of their volume by measuring the change in liquid levels. This method is commonly used in scientific experiments to determine the volume of irregularly shaped objects.
Transcribed Image Text:**Educational Website Content: Measuring Volume Displacement** The image shows two sets of beaker diagrams, each labeled as Figure 1 and Figure 2, illustrating the principle of volume displacement. **Figure 1:** - **Left Beaker:** - This beaker contains water filled up to the 100 mL mark. - The scale on the beaker is marked from 0 to 250 mL, with increments every 10 mL. - **Right Beaker:** - A rock is submerged in the water, displacing the liquid to the 150 mL mark. - This illustrates how the volume of the rock can be determined by measuring the difference in water levels (150 mL - 100 mL), indicating that the rock has a volume of 50 mL. **Figure 2:** - **Left Beaker:** - Water is initially filled to the 150 mL mark, as shown on the beaker's scale. - **Right Beaker:** - A cube is submerged, causing the water level to rise to the 200 mL mark. - The volume of the cube is determined by the difference in water levels (200 mL - 150 mL), indicating that the cube has a volume of 50 mL. These diagrams demonstrate how objects can displace a liquid in a container, allowing for the calculation of their volume by measuring the change in liquid levels. This method is commonly used in scientific experiments to determine the volume of irregularly shaped objects.
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