Equilibrium of concurrent forces -- 3 Pulleys and 2 Weights

In summary, the conversation discusses a problem involving a "weird" pulley and the force needed to lift a weight of 70N. The image provided does not have all the necessary information, specifically the force ##F_w##. The solution involves calculating the tension of the rope and analyzing the forces on the "weird pulley" to find the value of ##F_w##.
  • #1
Butterfly41398
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Homework Statement
Find the the value of the force shown
Relevant Equations
F=ma
Help, this one is completely different, the weird pulley is making it hard for me and I don't even know what to do with it and where to start. The answer is 185N but I want to know how.
 

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  • #2
Unfortunately the image seems to be cropped and it doesn't contain one vital piece of information: Which is the force ##F_w## which we try to calculate. My guess is that it is the force of the leftmost weight that hangs from the "weird" pulley?

Anyway I think you should start by calculating the tension of the rope that fixes the weight of 70N. This tension is a central "piece" in this problem.

Then you should analyze the forces that are being applied in the "weird pulley" (first pulley in the middle from left) into x and y components. Focus on the y components cause that's where the equation (apply Newton's 2nd law for the y-components, knowing that there is no movement in the y-direction) for finding ##F_w## lies.
 
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1. How do you calculate the equilibrium of concurrent forces with 3 pulleys and 2 weights?

To calculate the equilibrium of concurrent forces with 3 pulleys and 2 weights, you will need to use the principles of static equilibrium. This means that the sum of all forces acting on the system must equal zero. You will also need to consider the direction and magnitude of each force, as well as the angles at which they act.

2. What are the key components of a system with 3 pulleys and 2 weights?

The key components of a system with 3 pulleys and 2 weights are the pulleys themselves, the weights, and the ropes or cables that connect them. The pulleys act as a fulcrum for the ropes to pass through, allowing for the redistribution and balancing of forces.

3. How does the number of pulleys affect the equilibrium of concurrent forces?

The number of pulleys in a system can affect the equilibrium of concurrent forces by changing the direction and magnitude of the forces. With more pulleys, the forces can be distributed and balanced in different ways, potentially resulting in a different equilibrium point.

4. What role do weights play in the equilibrium of concurrent forces with 3 pulleys?

The weights in a system with 3 pulleys play a crucial role in creating and balancing forces. The weights provide a downward force that must be counteracted by the upward forces from the pulleys and ropes. Without the weights, there would be no need for the pulleys and the system would not be in equilibrium.

5. Are there any real-world applications of the equilibrium of concurrent forces with 3 pulleys and 2 weights?

Yes, there are many real-world applications of the equilibrium of concurrent forces with 3 pulleys and 2 weights. Some examples include cranes, elevators, and even simple machines like a flagpole. These systems use the principles of equilibrium to efficiently distribute and balance forces, making them essential in many industries and everyday life.

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