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haruspex's latest activity
haruspex
replied to the thread
Calculating acceleration of a prism and block connected to a wall through a rope and pulley
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I take it that where you have three arrows in the same colour, two of them are the third resolved into components parallel and normal to...
Jul 22, 2025
haruspex
reacted to
TSny's post
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Block drifts off between two moving planes through friction
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This formula definitely works. I've tested it with several arbitrary choices of u1 and u2. I noticed from the numerical solution that...
Jul 21, 2025
haruspex
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kekpillangok's post
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Block drifts off between two moving planes through friction
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Can we explain this from the fact that, at each instant, there are acceleration vectors of equal magnitude along the directions of the...
Jul 21, 2025
haruspex
reacted to
TSny's post
in the thread
Block drifts off between two moving planes through friction
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Yes. I think that's it! :smile: The two friction forces are represented by f. ##\vec W_1## is the velocity of the block relative to...
Jul 21, 2025
haruspex
replied to the thread
Block drifts off between two moving planes through friction
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Took me a while to get that last step. Need to consider infinitesimal changes, yes? If the magnitude of the velocity change is dv then...
Jul 21, 2025
haruspex
reacted to
TSny's post
in the thread
Block drifts off between two moving planes through friction
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I tried setting up the equations of motion and used Mathematica to solve them numerically. I get similar results to @haruspex 's post...
Jul 21, 2025
haruspex
replied to the thread
Block drifts off between two moving planes through friction
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So it seems ##2v=(\sqrt{1+u^2}-u+1)^2##, where u and v are the two ratios. But how to prove it? Maybe we can show that if at some time u...
Jul 21, 2025
haruspex
replied to the thread
Block drifts off between two moving planes through friction
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@TSny, can you confirm these datapoint ratios? Not the individual numbers, just the y/x ratios. uy ux vy vx 1 1 1 1 4 3 8 9 12...
Jul 20, 2025
haruspex
reacted to
TSny's post
in the thread
Block drifts off between two moving planes through friction
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Like
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I think the behavior is to be expected. Just after release, the block will pick up a small velocity in the 45-degree direction as shown...
Jul 20, 2025
haruspex
replied to the thread
Block drifts off between two moving planes through friction
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There is an intriguing datapoint in your results: 2.4, 0.72 to a considerable degree of precision.
Jul 20, 2025
haruspex
replied to the thread
Block drifts off between two moving planes through friction
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Your result is probably more accurate. I modelled it in a spreadsheet with fairly coarse timesteps.
Jul 20, 2025
haruspex
replied to the thread
Block drifts off between two moving planes through friction
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Ah, sorry, misread the modelling results. Forget post #4. What they show, paradoxically, is that as the u1/u2 ratio increases the v1/v2...
Jul 20, 2025
haruspex
replied to the thread
Block drifts off between two moving planes through friction
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Quite so, and matches what I got. My next thought was to model it and see if that yields any insights. Haven’t tried it yet. Update...
Jul 18, 2025
haruspex
replied to the thread
Block drifts off between two moving planes through friction
.
It might be simpler to work in scalars. If the components of ##\vec v## at some instant are ##v_1, v_2##, can you write expressions for...
Jul 18, 2025
haruspex
replied to the thread
Question About homework on Coulomb's Law
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The wording is very strange. What is the relevance of the charge being "instantly" negated, or of the system being "released". From...
Jul 16, 2025
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