Discover the Height at Which a Rope Breaks in a 24m Building Swing

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SUMMARY

The discussion focuses on calculating the height at which a rope breaks when a person swings from a 24-meter tall building to another building of the same height using a 24-meter long rope. The rope can withstand a maximum tension of twice the person's weight. Key concepts include conservation of energy and centripetal acceleration, which are essential for determining the tension in the rope at various angles during the swing.

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  • Understanding of conservation of energy principles
  • Knowledge of centripetal acceleration
  • Familiarity with tension in ropes and forces
  • Basic physics of pendulum motion
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  • Research the principles of conservation of energy in mechanical systems
  • Study centripetal acceleration and its applications in swinging motions
  • Learn how to calculate tension in ropes under dynamic conditions
  • Explore the physics of pendulum swings and their energy transformations
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Physics students, educators, and anyone interested in mechanics and dynamics, particularly in understanding the forces involved in swinging motions and tension in ropes.

SoulBlazerz
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Basically, there's a person standing on top of a 24 m tall building, and there's another 24 m tall building right beside the original building. The person is holding a 24 m long rope and is attempting to swing from the top of one building to the bottom of the other. The rope cannot take more tension then twice the person's weight, at what height does the rope break.

Note: The person begins swinging horizontally. I hope my explanation is clear, if not, then please tell me.

I'm not really sure how to tackle this question, I know it has something to do with conservation of energy, just not sure how to convert potential gravitational energy into something that can be used to determine the tension in the rope.

I'd appreciate any help :smile:
 
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Yes, you need to use conservation of energy... Try to find the tension when the rope has swung to a certain angle... use centripetal acceleration...
 

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