Basic Statics problem with scalar components and force

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The discussion revolves around solving a statics problem involving the determination of scalar components Ra and Rb of a force R along nonrectangular axes. The user initially attempted to set up rectangular coordinates but found it ineffective. They also tried to calculate the magnitude of the force without success. Guidance is requested on how to approach the problem effectively. The conversation emphasizes the need for clarity in the setup and calculations to find the correct components and projections.
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Homework Statement



Determine the scalar components Ra and Rb of the force R along the nonrectangular axes a and Also determine the orthogonal projection Pa of R onto axis a.

Homework Equations



n/a

The Attempt at a Solution



I tried setup rectangular coordinate but that didn't work well. I also tried to find the magnitude but that didn't seem to work either.
 

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Please guide me, thank you.
 
Show what you tried.

ehild
 

Thread 'Magnitude of buoyant force in fluids of different densities'

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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