Engineering mechanics Problem: Pulling on rope

In summary, the problem involves finding the components of a 660 N force in lines AC and BC in order to maintain static equilibrium. The equations of statics should be written and solved to find the correct components, which should add up to 530 N and 350 N according to the answers in the back of the book.
  • #1
Dfresh
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Homework Statement


https://drive.google.com/file/d/0B_pCZXb8oZhtZWg2Q0hxTHBZSUE/edit?usp=sharing
Problem 2.44

Homework Equations


Primary trigonometric ratios

The Attempt at a Solution


https://drive.google.com/file/d/0B_pCZXb8oZhtS2haUUFPXzlicHM0Z0pDd2xCQW9SRENrbnln/edit?usp=sharing[/B]

The answers at the back of the book are 530N and 350N.
 
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  • #2
You are not analyzing this problem correctly. You want to find the components of the 660 N force in lines AC and BC such that static equilibrium is maintained.

The sum of the horizontal components in lines AC and BC must be equal and opposite of the 660 N force directed to the right of the page, while the sum of the vertical components in lines AC and BC must equal zero. Write the equations of statics and solve them.
 

1. What is the purpose of studying engineering mechanics?

The purpose of studying engineering mechanics is to understand the physical principles and mathematical methods used to analyze and solve engineering problems related to motion, forces, and deformation of solid bodies. This knowledge is essential for designing and building structures, machines, and other systems.

2. How do you solve a problem involving pulling on a rope?

To solve a problem involving pulling on a rope, you need to apply the principles of statics, which deal with the forces and moments acting on a stationary object. First, draw a free body diagram of the object and identify all the external forces acting on it, including the tension in the rope. Then, use equations of equilibrium to solve for the unknown forces and determine the overall stability of the object.

3. What factors affect the tension in a rope while pulling?

The tension in a rope while pulling is affected by several factors, including the magnitude and direction of the applied force, the weight and shape of the object being pulled, the friction between the object and the surface, and the stiffness and elasticity of the rope. These factors can change the tension in the rope, which can affect the overall stability and motion of the object.

4. How can engineering mechanics principles be applied to real-world problems?

Engineering mechanics principles can be applied to real-world problems by using mathematical models and simulations to predict the behavior of physical systems. This allows engineers to design and test structures and machines, analyze the safety and stability of buildings and bridges, and develop solutions for various mechanical problems in industries such as construction, transportation, and manufacturing.

5. What are some common applications of engineering mechanics in everyday life?

Engineering mechanics has a wide range of applications in everyday life, including the design and construction of buildings, bridges, and roads, the development of transportation systems such as cars and airplanes, the design and operation of machines and equipment, and the analysis and improvement of sports equipment and techniques. It also plays a crucial role in the development of new technologies and innovations in various industries.

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