60% B |A J30° Figure P4.34, 4.34 The crate weighing 1780 N is supported by three ropes concurrent at B. Find the forces in ropes AB and BC if P = 2046 N.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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**Problem 4.34:**

A crate weighing 1780 N is supported by three ropes concurrent at point B. Find the forces in ropes \( AB \) and \( BC \) if \( P = 2046 \, \text{N} \).

**Figure Description:**

The diagram shows a crate suspended by a system of three ropes converging at point B. 

- Rope \( AB \) makes a 60° angle with the horizontal line extending to the left.
- Rope \( BC \) is positioned at an angle of 30° to the right of the vertical line.
- Rope \( P \) is pulling the crate to the right with a force of 2046 N.

Each rope affects the equilibrium of the crate, and the challenge is to calculate the forces in the ropes \( AB \) and \( BC \) based on the given angles and forces.
Transcribed Image Text:**Problem 4.34:** A crate weighing 1780 N is supported by three ropes concurrent at point B. Find the forces in ropes \( AB \) and \( BC \) if \( P = 2046 \, \text{N} \). **Figure Description:** The diagram shows a crate suspended by a system of three ropes converging at point B. - Rope \( AB \) makes a 60° angle with the horizontal line extending to the left. - Rope \( BC \) is positioned at an angle of 30° to the right of the vertical line. - Rope \( P \) is pulling the crate to the right with a force of 2046 N. Each rope affects the equilibrium of the crate, and the challenge is to calculate the forces in the ropes \( AB \) and \( BC \) based on the given angles and forces.
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