You should draw a free-body diagram.
Represent the unknown forces with variables.
Let F1 = force on the left side
Let F2 = force on the right side
Since the ropes are tied 60 degrees from the vertical, it's 90 - 60 = 30 degrees from the horizontal.
Summation of all forces on x:
-F1*cos(30) + F2*cos(30) = 0
F1*cos(30) = F2*cos(30)
F1 = F2
This is true since the diagram is symmetric.
Summation of all forces on y:
F1*sin(30) + F2*sin(30) - 310 = 0
Since F1 = F2,
F1*sin(30) + F1*sin(30) - 310 = 0
2*F1*sin(30) = 310
Now solve for F1. Units in N.
Hope this helps~ `u`
A girl weighing 310 N sits on a hammock supprted by two ropes. Each tied 60 degree from vertical posts. What is the tension on each rope?
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