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

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SUMMARY

The discussion focuses on calculating the force exerted by a boy weighing 400 N hanging from a rope between two trees, where the rope creates an angle of 170 degrees at the boy's hands. The correct approach involves recognizing that the angle between the horizontal and vertical components of the forces is 90 degrees. Participants emphasize the need to define unknown variables and apply the equation F=ma to derive the forces acting on each tree accurately.

PREREQUISITES
  • Understanding of Newton's laws of motion, specifically F=ma
  • Knowledge of vector components in physics
  • Familiarity with trigonometric principles related to angles
  • Ability to set up and solve equations involving forces
NEXT STEPS
  • Study vector resolution in physics to understand force components
  • Learn about static equilibrium conditions in two-dimensional systems
  • Explore the application of trigonometric functions in force calculations
  • Practice solving similar problems involving forces and angles
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding force dynamics in static systems, particularly in the context of equilibrium and vector analysis.

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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