Is Fgy the Same as FN in a System with Two Masses and Friction?

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The discussion revolves around the confusion regarding the normal force (FN) and gravitational force component (Fgy) in a system with two masses and friction. Participants clarify that Fgy is not the same as FN, emphasizing the need for a proper force diagram to understand the forces acting on the first mass (m1). The calculation for Fgy is presented, but the expression is deemed incorrect, prompting the suggestion to draw a force diagram for clarity. A missing diagram that previously illustrated the problem is mentioned, indicating it may have been deleted by the original poster. Understanding the relationship between the forces requires visual representation and correct application of trigonometric functions.
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Please do not delete parts of your post after you have received help on schoolwork problems
Homework Statement
what is the acceleration and tension of this system
Coefficient of kinetic friction = 0.5
“” “ static “ = 0.6
Mass1 = 20kg
Mass2= 12kg
Relevant Equations
F= ma
Fg = mg
I am just confused on how to find the normal force/ FN of the first object. My classmates are saying Fgy is the exact same as Fn but I don’t get why

Fgy= Fg sin theta
Fgy= (20)(9.81) (sin35)
Fgy= 112.5

Fgy = FN
 
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Your classmates are wrong. Having said that, your expression is incorrect. Draw a force diagram for m1 and you will see why. Hint: sine = opposite/hypotenuse; cosine = adjacent/hypotenuse.
 
kuruman said:
Your classmates are wrong. Having said that, your expression is incorrect. Draw a force diagram for m1 and you will see why. Hint: sine = opposite/hypotenuse; cosine = adjacent/hypotenuse.
Ok, thank you
 
Is there a diagram that goes with this problem?
 
berkeman said:
Is there a diagram that goes with this problem?
There was, but now it's gone. It showed two masses, m1 on an incline attached to a rope over a pulley to a m2 hanging straight down.
 
Thanks @kuruman -- I looked in the post history and didn't see a figure. OP must have deleted it after you helped them.
 
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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