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

[JeyGamer]

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.

 

[voko]

You need to consider each pulley and each mass in a FBD. It is not difficult, but may be a bit tedious.

 

[JeyGamer]

Okay, but what do I do in a FBD for the 25N weight, which is connected to the center of a pulley?

 

[darkxponent]

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.

 

[voko]

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.