Recent content by Kakainsu

Hmm...I would be very happy if you could explain for the last time why this is...I think I got lost in the split responses...

Yes, I do understand that when alpha is changing beta is changing. But again, after asking my teacher it turns out, that every position on the 'stopped' wave swing's trajectory has different beta from another. This is what I can't get my head around.

I think, I made a mistake by saying that the teacher suggested those two equations for the system as a whole. This was a mistake on my side, those equations represent the wave swing in a 'stopped' moment, like freezing time.

No, sorry, I don't understand. I do understand This is true for alpha changing constantly, as the two equation I attached suggest that beta is dependent on alpha, thus beta changes with changing alpha. HOWEVER, I considered a 'stopped' moment with alpha being given. Apparently, beta is still...

Especially considering that the velocity is dictated by the rotating axis and is constant

Alright, so apparently beta is different for any position on the circle at given alpha. Could someone give me an explanation as to why?

This is another impression.

Oh, okay, sorry. A wave swing is an amusement park ride. It's a variation of a simple carousel: The guests are rotating around the axis with constant angular velocity while being held by chains . However at the same time, the axis itself is periodically changing and tilting from the maximum tilt...

Yeah, as I said, i have no idea why we can assume beta to be the same for any position at given alpha.

Could you please be so kind and differentiate the path/time function twice? I know it's a lot but I just don't get it.

So phi = w*t? But how can I go on from there? I mean i don't know how to differentiate this...can you maybe give me an example of how you would differntiate the circular motion with changing planes, so expressed by e_phi and e_s? I'd be super happy, I really want to understand it but its hard

How can I write unit vectors as functions of time?

From my understanding, we now have an expression for the person at time t. I'm still very unsure of how I can differntiate this equation. Because everything will be in terms of the unit vectors. So how do I get there? I tried to differntiate, which was really messy and probably is pretty wrong...

If you actually differntiate, which Acceleration do you get? The acceleration vectors in a_1, a_2, a_3 direction, which are caused by the motion of the freesbie? And then, what acceleration of forces do we need to add on top of that? The Gravitational force? The force that compensates the...

6 Assume the usual (?) units, so w (omega) in angle/time, time in s, and angles in angles.