Finding tension of a swinging mass

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SUMMARY

The discussion focuses on calculating the tension in a string for a 5 kg monkey swinging on a 4 m vine at an initial angle of 25 degrees and a speed of 2 m/s. The key equations relevant to the problem include kinetic energy (k = (1/2)mv^2) and potential energy (u = mgh). To find the tension at the bottom of the swing and at 15 degrees, one must apply the principles of conservation of energy and analyze the forces acting on the monkey using a free body diagram.

PREREQUISITES
  • Understanding of kinetic and potential energy concepts
  • Familiarity with free body diagrams in physics
  • Knowledge of trigonometric functions related to angles
  • Basic principles of conservation of energy
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  • Study the application of free body diagrams in dynamic systems
  • Learn about the conservation of mechanical energy in pendulum motion
  • Explore the calculation of tension in strings under varying angles
  • Investigate the effects of angular displacement on forces in swinging objects
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Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators looking for examples of tension calculations in swinging systems.

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Homework Statement


A m = 5kg monkey swings on a vine the length l = 4m. His initial angle is theta = 25 degrees and he is moving at v = 2 m/s at the instant he begins his swing.
a. What is the tension in the string at the bottom?
b. What is the tension in the string at theta = 15 degrees?
Here's a picture of the diagram, not necessary but makes it easier
mt2vU.jpg


Homework Equations


I'm not really sure but here's a few.
k = (1/2)mv^2 + mgh
u = mgh

The Attempt at a Solution


I have no idea how to involve the theta into the equation, so I can't even really get started. Sorry for being so bad at physics :( If it helps, at the moment we're learning about the conservation of energy, in kinetic and potential energy. Thank you for reading.
 
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Do You know the meaning of equations you wrote?
 
Start with the free body diagram.
 

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