How Do You Calculate Normal Force for a Cup and Saucer on a Table?

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To calculate the normal force for a cup and saucer on a table, one must first understand that the normal force (Fn) equals the gravitational force (Fg) when the objects are at rest. The cup's mass is 0.176 kg, resulting in a normal force exerted by the saucer on the cup of approximately 1.7 N. For part b, the normal force exerted by the table on the saucer must account for both the saucer's weight and the weight of the cup resting on it. The total normal force from the table is the sum of the weights of both the cup and saucer, leading to a calculated value that can be derived from their respective masses. Ultimately, the normal forces can be determined through understanding free body diagrams and the relationship between forces in static equilibrium.
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1. A cup and saucer rest on a table top. The cup has mass of 0.176 kg and the saucer 0.165 kg. Calculate the magnitude of the normal force a). the saucer exerts on the cup and b). the table exerts on the saucer.



Too be honest I really don't know the equation. I think it might be ΣF=m*a but I'm not sure. And if that is the formula, I do not know how to proceed.
 
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Start with a free body diagram. The saucer and cup are not moving upwards or downwards, so Fn=Fg.
 
I still don't understand how to find part b. Part a was 1.7 N (\SigmaF=0.176(9.8)
So I got part a down, but I can't figure out how to do part b. I tried finding the force due to gravity, and then did Normal force-force due to gravity = ma. That didn't work.
 
Never mind, I figured it out!
 

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