Calculate the Resultant Force Between 4 Points

In summary, the conversation is about calculating the resultant force between four anchor points in order to hang two kayaks on two ropes suspended across a room. The weight of the kayaks is less than 32kg and the method for calculating the force between two points is known. It is suggested to divide the weight evenly between the two sets of two points, but it is also noted that the weight may not be evenly divided and additional force may be required when pulling or tugging the kayaks.
  • #1
AmateurHour
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0
I am trying to figure out how to calculate the resultant force between 4 anchor points. Basically I want to hang two kayaks on two ropes suspended across a room. Below I have some crudely drawn images of the set up:
upload_2018-5-14_10-39-19.png


upload_2018-5-14_10-39-39.png

I found how to calculate the vector forces between two points as pictured below below but am wondering how it would work with four points. Is it as easy as calculating each set of two points with half the weight distributed to each set? Both kayaks should have a combined mass of less than 32kg.

vector-math-1.jpg

vector-formular.jpg

F is the resultant force exerted to each anchorage.
W is the weight of the load.
α is the internal angle between the two slings.
 

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  • #2
AmateurHour said:
Is it as easy as calculating each set of two points with half the weight distributed to each set?

Yes, it is. Just be aware that getting the kayaks in and out of there will involve higher forces while you are pulling and tugging, and maybe jerking.
 
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  • #3
jrmichler said:
Yes, it is. Just be aware that getting the kayaks in and out of there will involve higher forces while you are pulling and tugging, and maybe jerking.
Thanks!
 
  • #4
AmateurHour said:
Is it as easy as calculating each set of two points with half the weight distributed to each set?
The weight generally will not be evenly divided between the two ropes; you'd have to get the kayaks positioned with their centers of gravity exactly between the two ropes for an even division of the weight. Worst cas, all the weight will be on one rope while the other is doing nothing.
 

1. What is the formula for calculating resultant force between 4 points?

The formula for calculating resultant force between 4 points is F = √(Fx² + Fy²), where Fx and Fy are the horizontal and vertical components of the force, respectively. This formula is derived from the Pythagorean theorem.

2. How do you determine the direction of the resultant force?

The direction of the resultant force can be determined by calculating the angle θ using the formula tan θ = Fy/Fx. Then, using trigonometric functions such as sine, cosine, or tangent, the direction of the resultant force can be determined.

3. Can the resultant force be negative?

Yes, the resultant force can be negative. A negative resultant force indicates that the forces acting on the object are in opposite directions. In this case, the object may experience a net force in the opposite direction of the resultant force.

4. What is the importance of calculating the resultant force between 4 points?

Calculating the resultant force between 4 points is important in determining the overall force acting on an object. This information is crucial in understanding the motion and stability of the object, as well as in designing structures and machines that can withstand and utilize forces in the most efficient way.

5. Are there any limitations in calculating the resultant force between 4 points?

Yes, there are some limitations in calculating the resultant force. The formula assumes that the forces are acting on a single point and that the object is in equilibrium. It also does not take into account other factors such as friction, air resistance, and other external forces that may affect the motion and stability of the object.

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