**Problem 4.56:**Determine the force \( F \) required to keep the 200-kg crate in equilibrium in the position shown.**Description of the Diagram:**The diagram shows a mechanical system in which a 200-kg crate is suspended. The setup involves:- A horizontal beam labeled \( AC \) with a length of 8 m.- A cable connecting point \( A \) to point \( B \). This cable makes an angle of \( 34^\circ \) with the horizontal and has a length of 6.5 m.- The crate is attached at point \( B \).- Another cable runs vertically from the pulley at point \( C \) to the point where force \( F \) is applied downward.The goal is to determine the necessary force \( F \) to maintain the system in equilibrium.**Figure Reference:**- The image is referred to as "Figure P4.56."

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Answered: 4.56 Determine the force F required to…

4.56 Determine the force F required to keep the 200-kg crate in equilibrium in the position shown. 8 m 34° 6.5 m B. 200 kg Figure P4.56

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

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

**Problem 4.56:**

Determine the force \( F \) required to keep the 200-kg crate in equilibrium in the position shown.

**Description of the Diagram:**

The diagram shows a mechanical system in which a 200-kg crate is suspended. The setup involves:

- A horizontal beam labeled \( AC \) with a length of 8 m.
- A cable connecting point \( A \) to point \( B \). This cable makes an angle of \( 34^\circ \) with the horizontal and has a length of 6.5 m.
- The crate is attached at point \( B \).
- Another cable runs vertically from the pulley at point \( C \) to the point where force \( F \) is applied downward.

The goal is to determine the necessary force \( F \) to maintain the system in equilibrium.

**Figure Reference:**

- The image is referred to as "Figure P4.56."

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