Help finding the vertical component of the reaction at C

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Ay has been calculated as 0.677 kN using the moment equation Ma = 1.5 kN(7m) - Ay(15.5m). To find Cy, the sum of vertical forces is suggested, leading to the equation Fy = Ay - F2 - F1sin55 + Cy = 0. This results in Cy being determined as 2.05 kN. It's advised to clarify the moment equation and use more significant figures in intermediate calculations to minimize rounding errors. Attention to detail in notation and clarity in equations is emphasized for accuracy.
mcrooster
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Homework Statement
Finding the vertical component of the reaction at C
Relevant Equations
E of E
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Hello everyone,

For this equation, I have found Ay as 0.677kN by using Ma = 1.5kN(7m)-Ay(15.5m).

To find Cy, would I be using the sum of forces to find the answer?

For example Fy = Ay - F2 - F1sin55 + Cy = 0
This would then get Cy answer as 2.05kN
 
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mcrooster said:
This would then get Cy answer as 2.05kN
Looks right.
 
Hi. Method is fine but pay attention to detail.
E.g. Don't use 'a' for 'A' (as in 'Ma'). Don't forget to say MA equals 0. Personally I would just say 'moments about A' rather than 'MA'.
For this equation, I have found Ay as 0.677kN by using Ma = 1.5kN(7m)-Ay(15.5m).
So it would be clearer to write the equation as (for example):
1.5kN(7m) - Ay(15.5m) = 0 (moments about A)

I would use one or two additional significant figures for intermediate-step answers (e.g. Ay = 0.6774kN). This reduces accumulated rounding errors in later steps. Round final answers as appropriate at the end.
 
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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