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Originally Posted by Galadriel55
The Azn, I also think your drawing is inaccurate. When looking at it, the catapults higher up shoot a farther horizontal distance - which I believe is your point. But what that drawing shows is not the advantage of height, but rather that the catapults higher up have more power than those down below, which is not the topic here. All catapults, regardless of their height, throw their loads (assuming the loads are the same) the same distance, and from there it's gravity against inertia. In your drawing, your catapults far up shoot a farther horiontal distance than those down below before the inertia vs gravity thing starts (that would certainly take the load forward some more, but more downwards).
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Hey Galadriel55. Besides a few things, I pretty much agree with what you said, but there are a few problems. Before expressing your opinion on who is more accurate, please have the courtesy to wait and ask for more clarity. Before I continue, I would like to say that I am at fault also. I should have been more clearer in my OP. As stated in my later post, there is less air friction the higher up you go. My drawing takes this fact into account. But more important is the fact that the catapults in my drawing were meant to not shoot the same loads. I guess I have to make some edits for my drawings.
And yes, I am saying that the Gondorians can use even lighter loads than the Mordorians to bombard , while the Mordorians can only cause “little” damage with their light but still heavier loads. I will explain more below in what will be my great responses to the general arguments made against me.
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It's hard to explain this without a picture, and mine isn't accurate either, but it shows the difference between what it should be and what you drew. The diagram on the left shows three same-power catapults shooting the same loads, and on the right is what your diagram says. Because I know I won't be accurate I did not draw the trajectories all the way, but even so you can see that it's not first and foremost a question of height, but rather a question of the proportion of height against the distance in front of the catapult that is still your own castle. Certainly the overall distance the highest catapult shots is greater than the lower catapults. But the lower catapults have less Minas Tirith to shoot over too.
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If we are talking about the same load, then yes you are quite right. But just to be perfectly clear on one thing, even the catapults placed on the lower wall will have the advantage of height, if Tolkien is consistent with his writing. The advantage will not be humongous, but it will be significant if the height is somewhere around 100 ft.
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Secondly, the advantage in height does not mean the catapult has power to shoot farther. It does not come in with the horizontal distance the catapult projects it's load. It comes after, when the load is already losing height. In this matter I think Mumriken has the better illustration of the trajectories. They are all, regardless of height, the same parabola, but the more room they have the farther they can go - but you know that after a certain point a parabola changes vertically more than horizontally.
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Besides your opinion on the accuracy of Mumriken’s illustration compared to mine, I pretty much agree with you. Yes, after a certain point, the parabola changes vertically more than horizontally.
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And lastly, I want to say again this point that is unrelated to diagrams but also important. Minas Tirith probably did not have catapults at its higher levels, especially that jut of rock in the Citadel.
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This is the greatest problem with your post. The evidence is actually quite to the contrary; catapults, if Professor Tolkien is to remain consistent, would have very likely been placed at the higher levels, and the jut of rock is no exception.