Mechanical Engineering: Particle Equilibrium (16 of 19) Determining Angles in 3-Dimension

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In this video I will calculate the 3 angles of a hanging mass in 3-dimensions.

Next video in the Particle Equilibrium series can be seen at:
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Absolutely love this man and his videos

bebarshossny
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isn't it simpler to use arctan instead of arccos for this example?

jaydoubleli
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I'm confused when by things like A of y (or in this case L of y) we sometimes mean magnitues (which can be only positive) and sometimes magnitudes+direction (which can be both positive and negative).
For instance, in this case we plug 1.6 for L of y (not -1.6). I know length can only be positive and the angle ends up the same when i plug -1.6, but still, having seen the first 20 videos on vectors, and the stress that is put on the vectors' direction, I'm confused now.

towngreeter
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Sir, with respect to the correct angles for y and z components, it should be negative with respect to the orientation we have. RIght?

markandreigarcia
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Hi Prof. Michel. For solving this problem I found two points (0.4, 0, -0.78) and (0, -1.6, 0) and found a vector (-0.4i -1.6j +0.78k)then found its magnitude which is 1.824. For cos theta y I got (-1.6/1.824 ) so obviously, I got a different angle, and obviously, I was wrong, so could you please tell me why I was wrong?

Caroline-otjn
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May I know whether the angle y is correct or not? I got 48.75 degrees.

yeeshengloh
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right makes x positive and up makes why positive. Which side makes x negative? Because my answer 151.5 and from experience I believe you are better at math and physics so can I know where was my mistake?

ahmedal-ebrashy
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why is it the 1.6 is not negative when he plugged it in the Ly2

bartolobenlordd.