**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.

To Find Force in rope AB as TAB and in rope BC as TBC.

Answered: 60% B |A J30° Figure P4.34, 4.34 The…

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Mechanics of Solids

It is the study of the behavior of solid materials, their characteristics under various circumstances such as variation in external forces, temperature, and other internal factors. It is one of most important study in the field of engineering science, especially chemistry and mechanical engineering. In rigid body, the idealization of the solid body in which deformation is neglected. Deformation is known as the force acting on the solid state system which exerts change in its shape of the body but it continues to be at rest or in a uniform motion but it cannot accelerate. But those solid systems do have elasticity, compressibility and can be bent. This field is very vast since there are wide range of materials around us.

Question

**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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