- #1
ShizukaSm
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Homework Statement
Consider the following ring:
Considering that [itex]\theta = 30°[/itex], determine F1 and F2 in order for the net force to be oriented downards with magnitude 10^3 N and without any horizontal component.
The Attempt at a Solution
Alright, so, the problem is I find two conflicting solutions when solving this simple problem.
Solution 1:
[tex]
\\
\sum F_x = 0 \rightarrow F_1*Sin(20)-F_2*Sin(30)=0 \\
\sum F_y = 0 \rightarrow F_1*Cos(20)+F_2*Cos(30)=1000
\\ \rightarrow F_2 ({\frac{Sin(30)}{Sin(20)} + Cos(30)}) = 1000
\\ \rightarrow F_2 = 429.56N | F_1 = 627.91N
[/tex]
PS: How do I fix my parenthesis in line 3 of my latex equation? It's lacking proportion.
Solution 2(Book solution):
So... In short, why aren't those two solutions agreeing?
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