Calculating Conical Acceleration for a Rotating Object on a Table

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SUMMARY

The discussion focuses on calculating the range of speeds for a 3.60 kg object rotating on a frictionless table with a radius of 0.800 m, supported by a string that can withstand a maximum load of 25.0 kg. The relevant equations include those for centripetal force and acceleration, which are essential for determining the maximum speed before the string breaks. Participants emphasize the importance of writing down all relevant equations and applying conservation principles to solve the problem effectively.

PREREQUISITES
  • Centripetal force equations
  • Basic principles of rotational motion
  • Understanding of tension in strings
  • Conservation of energy concepts
NEXT STEPS
  • Study the derivation of centripetal acceleration formulas
  • Learn about tension forces in rotating systems
  • Explore the concept of maximum load capacity in mechanical systems
  • Investigate conservation of energy in rotational dynamics
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of rotating objects and the forces involved in circular motion.

teresat628
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Homework Statement




A light string can support a stationary hanging load of 25.0 kg before breaking. A 3.60 kg object attached to the string rotates on a horizontal, frictionless table in a circle of radius 0.800 m, while the other end of the string is held fixed. What range of speeds can the object have before the string breaks?

Homework Equations





The Attempt at a Solution

 
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:smile: Hi teresa! Welcome to PF! :smile:

Write down the relevant equations first (equations for force, equations for acceleration, conservation equations, etc).

They are the tools you have to work with …

Then show us your attempt at a solution. :smile:
 

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