Newton's Laws - Tetherball on a pole

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SUMMARY

The discussion focuses on calculating the tension in the rope and the force exerted by the pole on a tetherball. Given a tetherball with a mass of 0.400 kg, a radius of 0.300 m, and a string length of 2.00 m, the participants emphasize the importance of accurately setting up the free body diagram (FBD) to solve the problem. It is established that the force exerted by the pole on the ball is perpendicular to both the pole and the ball's surface, and friction is neglected in this scenario.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Knowledge of free body diagram (FBD) construction
  • Basic principles of tension in strings
  • Familiarity with forces acting on objects in equilibrium
NEXT STEPS
  • Study the principles of tension in static systems
  • Learn how to accurately construct free body diagrams
  • Explore examples of forces in equilibrium scenarios
  • Investigate the effects of friction in similar problems
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of Newton's Laws in action.

Trojanof01
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A tether ball leans against the post to which it is attached (Fig. 5-40). If the string to which the ball is attached is 2.00 m long, the ball has a radius of 0.300 m, and the ball has a mass of 0.400 kg, what are the tension in the rope and the force the pole exerts on the ball? Neglect any friction between the ball and the pole. (The string is attached to the ball such that a line along the string passes through the center of the ball.)

Find the Tention in the Rope

Find the Force of pole on ball

My work:

http://i14.tinypic.com/5xh73pf.jpg

Biggest problem has been trying to set up the free body diagram? Does it look right? How about the answers?

edit: sorry for poor quality, my scanner blows
 
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Since there's no friction between ball and pole, the force of the pole must be perpendicular to the pole (and ball surface). Redo your FBD.
 

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