Three Children standing on a raft:Engineering Mechanics

In summary, the question asks for the magnitude and point of application of the resultant force of three children standing on a 5x5m raft with weights of 375N, 260N, and 400N at points A, B, and C, respectively. The magnitude can be found by adding all the forces together, but the point of application requires replacing the three forces with an equivalent single force that will keep the raft from tipping in any direction.
  • #1
Dfresh
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Homework Statement


Three Children are standing on a raft 5x5m. If the weights of the children at Points A,B,and C is 375N,260N,and400N, respectively, determine the magnitude and the point of application of the resultant of the three weights
Link to diagram:
http://www.chegg.com/homework-help/three-children-standing-5-x-5-m-raft-weights-children-points-chapter-3-problem-127p-solution-9780077275563-exc

Homework Equations


Sum of forces?

The Attempt at a Solution


So basically for this question, I'm stuck on the point of application part. The magnitude was easy enough, I just added all the forces. I'm not really sure how to approach the point of application part.
 
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  • #2
The idea is to replace the three forces with an equivalent single force - one that has the same effect.
 
  • #3
Think of it like this: Pretend the resultant force lifts the raft above the surface of the water. At the resultant point the raft must not tip in any direction.
 

1. What is Three Children standing on a raft:Engineering Mechanics?

Three Children standing on a raft:Engineering Mechanics is a thought experiment used to teach the principles of engineering mechanics. It involves three children standing on a raft and their movements and actions are used to explain concepts such as forces, equilibrium, and stability.

2. Why is Three Children standing on a raft:Engineering Mechanics used as a teaching tool?

Three Children standing on a raft:Engineering Mechanics is a popular teaching tool because it uses a relatable and visual scenario to explain complex concepts in a simple manner. It also encourages critical thinking and problem-solving skills.

3. What concepts of engineering mechanics are demonstrated in Three Children standing on a raft:Engineering Mechanics?

Three Children standing on a raft:Engineering Mechanics demonstrates concepts such as Newton's Laws of Motion, center of gravity, torque, and stability. It also highlights the importance of understanding and managing forces in a system.

4. How does Three Children standing on a raft:Engineering Mechanics relate to real-world applications?

Three Children standing on a raft:Engineering Mechanics can be applied to various real-world scenarios, such as building structures, designing vehicles, and understanding the mechanics of human movement. It provides a foundation for understanding the principles behind many engineering designs and systems.

5. How can Three Children standing on a raft:Engineering Mechanics be used in problem-solving?

Three Children standing on a raft:Engineering Mechanics can be used as a framework for problem-solving by breaking down complex systems into smaller, more manageable components. By understanding the principles of forces and equilibrium, engineers can design solutions to real-world problems more effectively and efficiently.

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