Rotational Equilibrium Problem

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The problem involves a rotational equilibrium scenario with four forces acting on a bar, but only three were considered in the initial calculations. The expected answer is 61.25 N, while the calculated result was 20.09 N. The oversight in accounting for all forces is critical to solving the problem accurately. Correctly identifying and including all forces is essential for achieving the right equilibrium condition. The discussion highlights the importance of thorough analysis in physics problems.
JoeyBob
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Homework Statement
See attached
Relevant Equations
T=r x F
See attached file. Answer is supposed to be 61.25 N, I get 20.09 N.
 

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There are 4 forces acting on the bar. You show only 3 in your attempt.
 
kuruman said:
There are 4 forces acting on the bar. You show only 3 in your attempt.
Thanks, I got it.
 
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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