Pendulum String Breaking Point Problem

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SUMMARY

The Pendulum String Breaking Point Problem involves a 2.05 kg ball attached to a fishing line with a breaking strength of 10 lb (44.5 N). The ball is released from a horizontal position, and the critical angle at which the fishing line breaks can be determined by analyzing the force components along the string and applying energy conservation principles. The problem emphasizes the importance of understanding tension forces and energy transformations in pendulum motion without requiring the length of the string.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of tension forces in pendulum systems
  • Familiarity with energy conservation principles
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Study the dynamics of pendulum motion and tension analysis
  • Learn about energy conservation in mechanical systems
  • Explore the impact of mass and gravitational forces on pendulum behavior
  • Investigate the relationship between angle and tension in pendulum systems
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the mechanics of pendulum systems and tension forces in strings.

aboothby
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A 2.05 kg ball is attached to the bottom end of a length of fishline with a breaking strength of 10 lb (44.5 N). The top end of the fishing line is held stationary. The ball is released from rest with the line taut and horizontal ( = 90.0°). At what angle (measured from the vertical) will the fishline break?

How do you figure this out without knowing the length of the pendulum string?
 
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Consider the force components along the line of the string.

Then also use energy conservation.
 

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