Recent content by Protea Grandiceps

Not sure if you still find this relevant, but yes, it would define elevation. It would complete reference to a 3rd dimension after (1st-D) in terms of no. of "orbits" and (2nd-D) in terms of % of distance from NP to SP since I'm assuming that we're still in a sphere of unitary size (r=1). In...

This is great - many thanks, vanhees71. I'd prefer to avoid complex numbers and your step-by-step approach is very helpful.

Not at all quite, the contrary. It got the ball rolling again by putting the emphasis on the salient point, which put me right on track.

Terrific, the penny finally dropped. That's what you already intended in an earlier response, that the reduced force in DHM vs SHM doesn't change the meaning of ##x##, ##x## changes the same. I saw your earlier message last night in which you quoted me without comment. You were drawing...

This is what lines of longitude and latitude are on a globe, the attempt to use a 2-D system on a 3-D object. As your winding spiral becomes thinner and thinner towards infinity it would approach the long/lat coordinate system. The challenge would be to make it user-friendly, since you'd be...

Hi, while I won't be addressing my posts to any particular individual (as much as I may appreciate any particular individual's interest) in order to make it clear that I'm directing them at anybody who is interested in them, I would like to give a quick shout-out to Dale in thanks for the...

Hi Dale, it's heartening to see that you've been giving my modest interest a bit of your no doubt highly-prized attention - thank you. If I may I'd just like to go over my understanding of select aspects of simple harmonic motion (SHM) and damped harmonic motion (DHM) and then attempt to make...

Hi Dale, thanks, I replied to your post without referencing it earlier so I'm just doing referencing it now, post- reply, in case you're only notified about referenced replies. PG

Great advice - I'll head right over asap.

Hi Dale, thank you for your considered answer which answers my question to a T. I appreciate your swift response earlier. I agree with you that the variable x represents distance from equilibrium regardless of whether oscillation is simple harmonic, damped harmonic or driven harmonic for that...

Thanks, Dale. I really should edit this though: "...while x in d^2.x/dt^2 and d^2.x/dt^2..." should read "...while x in d^2.x/dt^2...".

Thank you, Greg!

Hi, for ease of reference this posting is segmented into : 1. Background 2. Focus 3. Question 1. Background: Regarding (one, linear, second-order, homogeneous, ordinary, differential) equation describing the force in a non-driven, damped oscillation: F = m.a = -k.x - b.v F =...

Hi, I work in the travel industry and I have undergraduate degrees in literature and economics. I enjoy looking at the world. Best regards