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Question: Neglect friction and motion (sliding) and G(sphere)=20N. What is the reaction force exerted by the surface Z on the sphere?. In this question I reached two different result with two different solving method. But one of them is false according to answer key. My question is why first solving way is false? Because the first solution way makes sense to me.
First Method: If we divide the vectors into parts(x and y components), isn't the force coming in this direction(below picture) absorbed?(because as an example x component of Nx(x surface reaction force to the sphere) ) will be absorbed. It is because parallel with Z surface. Same situation exist for reaction force of Z surface.
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I mean small portion of the weight force will be wasted.
So that means that this solving way is true.
The second way is gathering the vectors of forces in one center(in situation of balance) and using lami theorem. But in this way reached a different result.
View attachment 322899 In here, the angle between the reaction forces was tried to be found. The final version is:
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Here we find the answer as 20N. Which is also answer key answer. But my question is Why the first solution is wrong. Whereas, when we use the lami theorem, we don't take absorption into account.
Sorry, I am begginer. So Since I couldn't take the 360 minutes editing timeout into account, I reorganized and rewrote it here.