Finding the resultant force using a vector polygon diagram

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The discussion centers on calculating the resultant force using a vector polygon diagram. The correct resultant force is stated as 21.767 N at an angle of 61.34 degrees. Initially, the poster overlooked force F1, which led to an incorrect answer. After including F1, the poster recalculated the resultant force as 21.82 N at 61.30 degrees, noting that the slight difference is likely due to rounding. The conversation emphasizes the importance of considering all forces in vector calculations.
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Hi I made an attempt at this problem but have got the wrong answer
Screenshot 2020-09-28 at 20.30.02.png

Screenshot 2020-09-28 at 20.30.32.png

IMG_5296.JPG


The correct answer is actually resultant force = 21.767 N at 61.34 degrees (or 151.34 degrees bearing), but I don't know how they got that?

Any help would be appreciated! Thanks
 
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Are you including F1?
 
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Lnewqban said:
Are you including F1?

Oops, I initially thought the Q wanted me to solely focus on force F2 and F3 and ignore F1. I think I got the answer now when taking F1 into account

I got resultant force to be 21.82N at angle 61.30 degrees, which is slightly different from the correct answer given. But I thinks it's because of rounded values.
 
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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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