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Dec 14, 2020 at 9:35 comment added Brian I'll need some more time to digest your answer as it's a lot of ideas but again, thank you. This was of much help.
Dec 14, 2020 at 9:26 comment added pglpm @Buraian Yes that's what they do. $\tau_{xy}$ for example is the force orthogonal ($y$ direction) to the normal in the $x$ direction.
Dec 14, 2020 at 9:24 comment added pglpm @Buraian around the pulley the rope is accelerating laterally, that's why we find that $a_y\ne 0$ there.
Dec 14, 2020 at 9:24 comment added Brian So, if I got this right, the cross components of the stress force denote the force which twists and bends the force being transmitted across the rope?
Dec 14, 2020 at 9:23 history edited pglpm CC BY-SA 4.0
better description
Dec 14, 2020 at 9:21 comment added pglpm @Buraian coordinate $x$ is meant to be along the rope, and $y$ orthogonal/lateral to it. So where the rope is perfectly horizontal or perfectly vertical, $a_y=0$, otherwise it would be accelerating laterally
Dec 14, 2020 at 8:50 comment added Brian "The approximate analysis just made is also correct for horizontal or vertical segments of rope, away from the pulley. In that case we find that ay=0 and 0=Ry=Fy=Gy." , this part here if the acceleration is zero, then how is it possible that this rope moves through space
Dec 14, 2020 at 7:54 history edited pglpm CC BY-SA 4.0
better pics
Dec 14, 2020 at 7:22 history edited pglpm CC BY-SA 4.0
corrected figure
Dec 14, 2020 at 7:19 comment added pglpm @Buraian Sorry I'll replace the figures. That's a thin segment of rope. The rope continues outside of side 1 and side 2
Dec 14, 2020 at 6:03 comment added Brian I'm a bit confused from your picture why is the rope coming at a slant height straight out of the pulley? isnt it hanging over the pulley?
Dec 13, 2020 at 22:06 history edited pglpm CC BY-SA 4.0
typos
Dec 12, 2020 at 19:41 history edited pglpm CC BY-SA 4.0
correction
Dec 12, 2020 at 18:07 history edited pglpm CC BY-SA 4.0
added note
Dec 12, 2020 at 18:00 history edited pglpm CC BY-SA 4.0
added note
Dec 12, 2020 at 17:24 history edited pglpm CC BY-SA 4.0
correction
Dec 12, 2020 at 17:17 history answered pglpm CC BY-SA 4.0