Force components of two strings tied to a painting at 45 degree angles

  • #1
1,462
44

Homework Statement



Find the equation of the horizontal components of two strings tied to a painting at 45 degree angles with the horizontal.


Homework Equations



Fnet = 0


The Attempt at a Solution



Since the painting is in equilibrium, I found that, in the horizontal direction, Fnet = 0 = S1x - S2x, where S1x S2x are the horizontal components of the force by the strings. What I don't understand is why S1x = S2x. This naturally follows as a result, but aren't these two quantities equal and opposite, since they have the same magnitude but are in opposing directions? Shouldn't it be S1x = -S2x?
 

Answers and Replies

  • #2
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
2020 Award
35,506
6,420
Find the equation of the horizontal components of two strings tied to a painting at 45 degree angles with the horizontal.
The set up is not at all clear. Is the painting at 45 degrees or the strings? Where are the strings attached to the painting? Etc.
 
  • #3
PhanthomJay
Science Advisor
Homework Helper
Gold Member
7,165
507

Homework Statement



Find the equation of the horizontal components of two strings tied to a painting at 45 degree angles with the horizontal.


Homework Equations



Fnet = 0


What I don't understand is why S1x = S2x. This naturally follows as a result, but aren't these two quantities equal and opposite, since they have the same magnitude but are in opposing directions? Shouldn't it be S1x = -S2x?
you assumed that one comp acts left and the other right. The fact that s1= s2 means means you assumed the correct directions, provided, however, that each comp pulls away from the picture, not toward it. Plus and minus signs get very tricky.
 
  • Like
Likes Mr Davis 97

Related Threads on Force components of two strings tied to a painting at 45 degree angles

Replies
38
Views
5K
Replies
3
Views
873
Replies
8
Views
14K
  • Last Post
Replies
1
Views
1K
Replies
9
Views
3K
Replies
3
Views
529
Replies
15
Views
2K
Replies
2
Views
7K
Replies
6
Views
3K
Top