Halliday Resnick Krane Chapter 2 Problem 30: Juggling Five Balls

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SUMMARY

The problem from Halliday Resnick Krane Chapter 2, Problem 30, involves juggling five balls, where each ball rises two meters and remains in the air for approximately 1.28 seconds. To solve the problem, one must calculate the total number of touch events per minute, considering that the balls are released at different times. The key to finding the solution lies in understanding the timing and sequence of handling each ball, as well as the frequency of touches per ball.

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  • Knowledge of juggling techniques and patterns
  • Ability to perform calculations involving rates and frequencies
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This discussion is beneficial for physics students, juggling enthusiasts, and anyone interested in the mathematical analysis of motion and timing in juggling scenarios.

vibha_ganji
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Homework Statement
A juggler juggles 5 balls with two hands. Each ball rises 2 meters above her hands. Approximately how many times per minute does each hand toss a ball?
Relevant Equations
y= y0 + vt + (at^2/2)
If each ball rises two meters, then the time is in the air is equal to around 1.28 seconds. After this, what am I supposed to do? I feel really stuck. If all of the balls are released at different times, how am I supposed to find the answer?
 
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What will happen if you don't handle each of the other balls before you re-handle the first ball?
 
.. or start with, how many times a minute does a given ball touch a hand? How many touch events are there in total per minute?
 
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vibha_ganji said:
If all of the balls are released at different times, how am I supposed to find the answer?
By counting?
 

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