Recent content by Cato11

Thanks Kuruman. So I have tried using this method for a range of differently shaped paths, e.g. an S shaped path, random wiggly lines etc. I believe the method works for any scenario, so long as the length of the path is known. The method I am describing is effectively PeroK's graph method...

Hi PeroK, Can I please ask if your method works for any shaped path? In the case of this thread, the particle moves in an arc (or circular) path. But let's say it instead moved in a different shape, say a 'U' shape or any other shape, does the same math still apply? Obviously total distance of...

Okay so I have just run some code using this method and on first impressions it seems to have produced exactly the correct result! Seriously I cannot thank you enough PeroK! I still have to implement this in many different scenarios so if I run into an issue I will let you know, but for now it...

D'oh! I think that has fixed it.. not sure how I made such a ridiculous oversight!

But doesn't this mean that deltaT just becomes smaller the more intervals we compute? E.g. if I am very precise and compute 1000 intervals, I will get a much smaller deltaT than if I did 10 intervals. This would produce a massively different timeframe depending on how accurate I am, but surely...

Thank you PeroK, I understand the gist of what you are saying but I am not sure how to implement your recommendations. Could you possibly provide a worked example of your solution? I have tried looking at worked examples online but they always involve a known timeframe, so I am just perplexed as...

Please can you advise how to go about this?

Hello everyone, I would really appreciate some help with a challenge I am facing. The challenge is to accelerate a particle in a circular path, but the acceleration must be non-uniform. In other words, the velocity does not increase linearly. The problem I am facing is shown below: The...

Hi All, I am happy to report that I have made some progress on this problem. In fact I think it is solved as far as my case is concerned! Let's start with the formulation of the curve and take as an example a cubic bezier curve. Such a curve has two positional points (p0, p1) as well as two...

@robphy I think you are right, I have underestimated the the complexity of this problem it seems. I didn't think that the shape of the path was particularly important but clearly it is. I think I need to go back to the drawing board and rethink this problem. That being said, I appreciate...

My apologies, I thought I made that clear. What I am trying to accomplish is to get a moving object to uniformly accelerate from a define start speed to a defined end speed, as it travels through a curved path. The curved path is a spline comprised of multiple arcs. There can be two arcs as...

@jbriggs444 (#20) Thank you for the extra clarification! @robphy (#21) I think what you mention is the real key here. I need to reparametrize the path with a new T between 0 and 1. I have found quite a lot of discussion on arc length parametrization. I spent about 6 hours on it yesterday...

@jbriggs444 Thank you so much for taking the time to explain that. I did not know that we could reduce this to a one-dimensional problem using the SUVAT equations. That is quite a revelation! So effectively I need to find the path length 's', and solve your last equation for 'a' where V0 is the...

Thank you everyone for the replies, I appreciate it. @robphy As mentioned the bezier curves do allow a pretty good approximation. Here is a demo of my code running a bezier curve. It joins two discrete arcs to create a fairly smooth curving motion (it is not the same path as the OP but it...

Yes you are both right, what I meant by uniform acceleration was ramping the velocity at a uniform rate, as a function of time. So the moving body starts P1 at Vstart and hits P4 at Vend. I'm sorry if this is an elementary question but how should I go about finding the equation of the path? I...