QUESTION # 2 A brass cube 6 in on a side weighs 67 Ib. We want to hold this cube in equilibrium under water by attaching a light foam buoy to it. If the foam weighs 4.5 lb/ft³, what is the minimum required volume of the buoy? Foam Water Wires connecting brass and foam Brass 3 OF 5

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**Question #2:**

A brass cube 6 inches on a side weighs 67 lb. We want to hold this cube in equilibrium under water by attaching a light foam buoy to it. If the foam weighs 4.5 lb/ft³, what is the minimum required volume of the buoy?

**Diagram Explanation:**

The diagram depicts a brass cube submerged under water with a foam buoy attached to it. Here are the key elements:

- **Brass Cube**: Positioned at the bottom, with arrows indicating forces acting on it.
  - **\( W_B \)**: Weight of the brass.
  - **\( F_{BB} \)**: Buoyant force acting on the brass cube.

- **Foam Buoy**: Positioned above the brass cube in the water with arrows indicating forces acting on it.
  - **\( W_F \)**: Weight of the foam.
  - **\( F_{BF} \)**: Buoyant force acting on the foam.

- **Wires**: Connect the brass cube and foam buoy, maintaining tension and equilibrium.

The goal is to determine the minimum volume of the foam buoy needed to balance the brass cube underwater.
Transcribed Image Text:**Question #2:** A brass cube 6 inches on a side weighs 67 lb. We want to hold this cube in equilibrium under water by attaching a light foam buoy to it. If the foam weighs 4.5 lb/ft³, what is the minimum required volume of the buoy? **Diagram Explanation:** The diagram depicts a brass cube submerged under water with a foam buoy attached to it. Here are the key elements: - **Brass Cube**: Positioned at the bottom, with arrows indicating forces acting on it. - **\( W_B \)**: Weight of the brass. - **\( F_{BB} \)**: Buoyant force acting on the brass cube. - **Foam Buoy**: Positioned above the brass cube in the water with arrows indicating forces acting on it. - **\( W_F \)**: Weight of the foam. - **\( F_{BF} \)**: Buoyant force acting on the foam. - **Wires**: Connect the brass cube and foam buoy, maintaining tension and equilibrium. The goal is to determine the minimum volume of the foam buoy needed to balance the brass cube underwater.
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