What is the tension in a pulley system with multiple weights?

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In a pulley system with multiple weights, the tension can be determined by analyzing the forces acting on each weight. The weights involved are 25 N, 4 N, 4 N, and 1 N, and the system is in equilibrium, meaning the sum of forces equals zero. It is essential to draw free body diagrams (FBD) for each mass to visualize the forces, particularly for the 25 N weight, which experiences tension from both the top and bottom ropes. The process may be tedious but is straightforward once the forces are identified. Understanding these principles will lead to calculating the tension in the strings accurately.
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Homework Statement


The system is in equilibrium and the pulleys are weightless and frictionless. The weights are 25 N, 4 N, 4 N, and 1 N. Find the tension T. The acceleration of gravity is 9.8 m/s^2. Answer in units of N


Homework Equations


F=ma


The Attempt at a Solution


Honestly, we've never done with a pulley system with multiple weights in class, so I don't know how to begin. I also don't know how to address the fact that some pulleys are connected to the center of another pulley.
 

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You need to consider each pulley and each mass in a FBD. It is not difficult, but may be a bit tedious.
 
Okay, but what do I do in a FBD for the 25N weight, which is connected to the center of a pulley?
 
To make the problem easier first try to find the Tension in the 3 strings. And then as Voko said draw FBD of each mass. I don't think you need to make FBD of pulleys.
 
JeyGamer said:
Okay, but what do I do in a FBD for the 25N weight, which is connected to the center of a pulley?

The 25N weight has three forces: its own weight, the tension of the rope at the bottom, and the tension of the rope at the top. Just like any other weight, really.
 

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