Suspended Painting: Finding Its Weight

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To determine the weight of the painting suspended by two ropes at a 120º angle, the forces in the ropes need to be resolved into their x and y components. Since the system is in equilibrium, the horizontal forces will cancel each other out, while the vertical components must equal the weight of the painting. The combined force of the two ropes, each exerting 400 N, can be calculated to find the resultant force. This resultant force will directly relate to the weight of the painting. Understanding these force components is crucial for solving the problem accurately.
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Homework Statement



A painting hangs from two identical silk ropes that form an angle of 120º. Both ropes make forces of 400 N each to keep it in place.

Homework Equations



a. Find the combined force of both silk ropes.(I have already done it)
b. How heavy is the painting?(need help in this one)

The Attempt at a Solution


I don't know what the Formula I have to use, to resolve the second one.
 
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Welcome to PF.

I think you will want to draw a picture yourself and resolve the forces on the ropes into x,y components.

Since everything is in equilibrium then the horizontal forces will cancel and be equal. The vertical force components then must support the weight.
 
is the resultant of both forces equal to the weight?
 
ignacioserra said:
is the resultant of both forces equal to the weight?

That would be another way to do it.
 

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