2 wires attached to another wire attached to a block

[random124]

Homework Statement

Why is the weight equal to the tension of C?

Relevant Equations

Fg = Tc

Why is the weight equal to the tension of C?

 

[phinds]

Draw a force diagram

 

[haruspex]

Homework Statement: Why is the weight equal to the tension of C?
Relevant Equations: Fg = Tc

Why is the weight equal to the tension of C?

What forces act on the suspended object? Is the suspended object accelerating?
The "relevant equations" item in the template is for standard equations, such as Newton’s laws, that would be relevant to the question. Which of those relates forces on a body to its acceleration?

 

[random124]

the object has no acceleration its suspended.

 

[phinds]

Draw a force diagram

 

[haruspex]

the object has no acceleration its suspended.

So what does that tell you about the net force acting on it?
And what forces contribute to that total?

 

[random124]

That the net force is 0 but I don't understand why is the weight and tension of the cord that's pushing the weight up equal if there are other cords attached

 

[haruspex]

That the net force is 0 but I don't understand why is the weight and tension of the cord that's pushing the weight up equal if there are other cords attached

The other cords are not attached to the weight.
Each body only "knows" about the forces that act directly on it. The suspended body is only directly acted on by gravity and the vertical cord; that cord (taken as massless) is only acted upon by the suspended weight and the knot; the knot is acted on by three cords; etc.
If the knot were directly attached to a ceiling instead of to the upper two cords it would make no difference to anything below the knot.

 

[phinds]

That the net force is 0 but I don't understand why is the weight and tension of the cord that's pushing the weight up equal if there are other cords attached

DO A FORCE DIAGRAM !!!