Standing Waves Homework: A Tuning Fork, a String and a Hanging Mass

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Standing waves are stationary waves formed by the interference of two waves traveling in opposite directions. To solve problems related to standing waves, it's essential to identify relevant relationships and equations for the specific scenario, such as those involving a tuning fork, a string, and a hanging mass. Analyzing how these relationships interact can help simplify the problem and reveal cancellations. Engaging with the fundamental concepts of wave behavior and applying them to the problem is crucial. Understanding these principles will lead to a clearer approach to the homework question.
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New poster has been reminded to post the Relevant Equations and show their work on schoolwork problems
Homework Statement
idk
Relevant Equations
v=f(frequency)
Hi guys,
so I am struggling on the Standing Waves concept. I understand that these are waves that move in place but I don't know how to attempt this problem. Can someone set me on the right track?
 

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Hello chessmaster, :welcome: !

PF culture (and the rules too) requires an effort from you before we can help.
write down the relevant relationships for the two cases and see if things cancel (divide out)
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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