Equilibrium in Two Dimensions: What Force Does a Hanging Boy Exert on Each Tree?

AI Thread Summary
A boy weighing 400 N hangs from a rope between two trees, creating a 170-degree angle at his hands. The discussion focuses on calculating the force exerted by the rope on each tree, emphasizing the need to consider the correct angles between the horizontal and vertical components of the forces. Participants highlight the importance of using the equation F=ma and suggest defining unknowns to solve the problem effectively. Clarification is provided that the angle between the horizontal and vertical components is 90 degrees, not 5 degrees. The conversation encourages a more detailed approach to the solution.
Leelo
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Homework Statement


a boy on whom the force of gravity is 400 N hangs on to the middle of a rope stretched between two trees. The rope sags in such a way that it makes an angle of 170 degrees at the boys hands. what force does the rope exert on each tree?

Homework Equations


F=ma

The Attempt at a Solution


5 degree angle between horizontal and vertical components
 
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Leelo said:
5 degree angle between horizontal and vertical components
That's not what you mean. The angle between those components is necessarily 90 degrees.
Anyway, you have an equation to use. Create unknowns as necessary and write out the equation as it applies to this problem. (I.e., show more of an attempt!)
 

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