What Is the Tension Force in a Clothesline Holding Big Bird?

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SUMMARY

The discussion focuses on calculating the tension force in a clothesline supporting Big Bird, who exerts a gravitational force of 720 N. The clothesline forms a symmetrical 'V' with an angle of 150 degrees. To find the tension in the rope, participants suggest using trigonometric principles and free body diagrams to analyze the forces acting on Big Bird. The key equation derived is Tcos(angle) + Tcos(angle) = Fg, which allows for solving the tension force in each segment of the rope.

PREREQUISITES
  • Understanding of basic trigonometry, particularly sine and cosine functions.
  • Familiarity with free body diagrams and equilibrium concepts.
  • Knowledge of vector decomposition in physics.
  • Ability to solve equations involving forces and angles.
NEXT STEPS
  • Study the principles of static equilibrium in physics.
  • Learn how to draw and analyze free body diagrams effectively.
  • Explore trigonometric identities and their applications in force calculations.
  • Practice problems involving tension forces in various configurations.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for examples of tension force calculations in real-world scenarios.

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Homework Statement


Big Bird’ has a force of gravity on him of 720 N. He is perched on a clothesline such that the
clothesline forms a symmetrical 'V' with the angle within the 'V' being 150degrees. What is the
tension force in the rope on each side of ‘Big Bird’?


Homework Equations



Trigonometry

The Attempt at a Solution



I tried to draw a scale diagram which failed. I also tried to figure this all out but I'm really stumped.

sin150 = x /720N
sin150 x 720N = x
0 = x
I don't know what to do from there, or even if I'm doing this right?
 
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Draw the V with two tensions acting, they are the same.

Now split the two tensions into components. For equilibrium, sum of horizontal forces=0
and similarly, sum of vertical forces=0
 
So he (big bird) is standing on a rope and has a force straightdown in gravity, there are 2 forces of Tension, so try drawing the free body diagram (hint: the tension forces form a V and also break the tension forces into vectors after)

Then imagine a line going through the center of big bird and think about wut the angle should be for each tension force (its not 150)

In the end u should find tht the forces in the x-direction cancel and the forces in the y-direction are Tcos(angle) + Tcos(angle) = Fg

then solve.
 

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