### Problem 2The mass of a block \( m = 4.59 \, \text{kg} \) has part of its volume submerged in a beaker of water. The block is partially supported by a string of fixed length that is tied to a support above the beaker. When 80% of the block’s volume is submerged, the tension in the string is \( 5.0 \, \text{N} \).(a) ***What is the magnitude of the buoyant force acting on the block?***(b) ***Water is steadily removed from the beaker, causing the block to become less submerged. The string breaks when its tension exceeds \( 35 \, \text{N} \). What percent of the block’s volume is submerged at the moment the string breaks?***#### Diagrams:1. **Initial Setup Diagram**: - A rectangular block is shown partially submerged in a beaker filled with water. The block is connected to a string that is tied to a support above the beaker. 2. **Force Diagram**: - A free-body diagram of the block is illustrated showing the forces acting on it: - \( F_B \): Buoyant Force (upward direction) - \( F_T \): Tension in the string (upward direction) - \( mg \): Weight of the block (downward direction)The diagrams help visualize the initial conditions and the forces acting on the block as described in the problem statement.

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The mass of a block m = 4.59 kg has part of its volume submerged in a beaker of water. The block is partially supported by a string of fixed length that is tied to a support above the beaker. When 80% of the block's volume is submerged, the tension in the string is 5.0 N. (a) What is the magnitude of the buoyant force acting on the block? (b) Water is steadily removed from the beaker, causing the block to become less submerged. The string breaks when its tension exceeds 35 N. What percent of the block's volume is submerged at the moment the string breaks? mg

The mass of a block m = 4.59 kg has part of its volume submerged in a beaker of water. The block is partially supported by a string of fixed length that is tied to a support above the beaker. When 80% of the block's volume is submerged, the tension in the string is 5.0 N. (a) What is the magnitude of the buoyant force acting on the block? (b) Water is steadily removed from the beaker, causing the block to become less submerged. The string breaks when its tension exceeds 35 N. What percent of the block's volume is submerged at the moment the string breaks? mg

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

### Problem 2

The mass of a block \( m = 4.59 \, \text{kg} \) has part of its volume submerged in a beaker of water. The block is partially supported by a string of fixed length that is tied to a support above the beaker. When 80% of the block’s volume is submerged, the tension in the string is \( 5.0 \, \text{N} \).

(a) ***What is the magnitude of the buoyant force acting on the block?***

(b) ***Water is steadily removed from the beaker, causing the block to become less submerged. The string breaks when its tension exceeds \( 35 \, \text{N} \). What percent of the block’s volume is submerged at the moment the string breaks?***

#### Diagrams:

1. **Initial Setup Diagram**:
- A rectangular block is shown partially submerged in a beaker filled with water. The block is connected to a string that is tied to a support above the beaker.

2. **Force Diagram**:
- A free-body diagram of the block is illustrated showing the forces acting on it:
- \( F_B \): Buoyant Force (upward direction)
- \( F_T \): Tension in the string (upward direction)
- \( mg \): Weight of the block (downward direction)

The diagrams help visualize the initial conditions and the forces acting on the block as described in the problem statement.

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