What is the frequency of sound when a ball bounces off a wall?

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The discussion focuses on determining the frequency of sound produced when a ball bounces off a wall. Participants emphasize the importance of understanding relevant equations, particularly those related to the vertical motion of a bouncing ball and the Wave Equation. It is suggested that the heating of the ball affects its properties, which in turn influences the sound frequency. Readers are encouraged to conduct research on these equations and share their findings or questions for further clarification. Understanding these concepts is essential for accurately calculating the sound frequency generated by the bouncing ball.
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Homework Statement
Hello,
my colleague is writing an IA in physics. After playing squash the ball heats up and its spring properties change. He wants to check if the frequency of bounce changes with change of spring constant. Is there any realtion between these values? Do you know any literature which can help him?
Relevant Equations
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The problem seems pretty straightforward. You say there are no relevant equations, but that is clearly false. Can you say what the two sets of applicable equations may be? Please put some effort into this question for "your friend". :wink:
 
I do not know the equations that is why I write "none". And I know these "friends of mine" but this time it is true ;)
 
Well, I suggest you and your friend do a little reading/research into this. Start looking for equations that can be used to calculate the vertical motion of a bouncing ball (an oscillator with damping), and also look at the "Wave Equation" and what quantities are involved in it. The heating of the ball does certain things to its properties that will be reflected in changing parts of the Wave Equation and the Damping part of the Damped Oscillator equation(s).

Please do that reading and post here with links to that reading, and ask specific questions about any things that you don't understand about the reading. Thanks.
 
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Oh and I forgot to mention that I am asking about frequency of sound when the ball bounce from the wall :)
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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