Solve Tetherball Problem: Find Rope Tension & Pole Force

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SUMMARY

The discussion centers on calculating the tension in the rope and the force exerted by the pole on a tetherball. The tetherball has a string length of 2.00 m, a radius of 0.300 m, and a mass of 0.400 kg. The user initially miscalculated the forces by assuming two ropes were involved but later corrected this by determining the angle using the formula Theta=ArcSin(0.3/2.3), resulting in an angle of 7.43 degrees. The user is seeking assistance in completing the calculations for the tension and pole force before a submission deadline.

PREREQUISITES
  • Understanding of basic physics concepts, specifically forces and tension.
  • Knowledge of trigonometry, particularly sine functions and angle calculations.
  • Familiarity with Newton's laws of motion, especially regarding vertical and horizontal forces.
  • Ability to apply mathematical formulas to real-world problems involving circular motion.
NEXT STEPS
  • Calculate the vertical component of the tension using the weight of the ball (0.400 kg).
  • Determine the horizontal component of the tension using trigonometric functions based on the angle found.
  • Apply Newton's second law to find the net force acting on the ball.
  • Explore the concept of static equilibrium to understand the forces acting on the tetherball system.
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone interested in solving problems related to forces and tension in circular motion.

jnolan
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Hi. I know it is rude to have your first post be a question, but I am out of time for this (it is due in an hour), so if someone could help, it would be greatly appreciated.

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


UPDATE: I just got the first one. I was accidentally thinking that there were 2 ropes pulling it.
I have tried 4 times (its an online submition thing) and only have one more shot. Any help would be appreciated.
 
Last edited:
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What I have tried so far:
To solve for the angle between the poll and ball:
Theta=ArcSin(.3/2.3)=7.43 degress
 
the rope is the only thing capable of applying a vertical force, so it must take care of gravity entirely. Then you need to figure out what the horizontal forces look like (given the angle, and the vertical force, it's basic triangle trigonometry)
 

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