Three Children standing on a raft:Engineering Mechanics

AI Thread Summary
To determine the resultant of the three children's weights on the raft, first calculate the total weight by summing the individual weights of 375N, 260N, and 400N, resulting in a magnitude of 1035N. The challenge lies in finding the point of application of this resultant force, which should be positioned such that the raft remains balanced and does not tip. This involves analyzing the moments around a pivot point to ensure equilibrium. The resultant force can be visualized as a single force acting at a specific location on the raft that replicates the combined effect of the individual weights. Understanding the balance of forces and moments is crucial for solving this problem effectively.
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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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The idea is to replace the three forces with an equivalent single force - one that has the same effect.
 
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.
 
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