AbeerJoshi
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- TL;DR Summary
- Path traced by a point on the horizontal periphery of the ball (right or left), when spinned and launched.
So, If we imagine a ball, give it some initial angular velocity ω, and launch it straight up, with a translational initial velocity u.
What will be the path traced by a point on the periphery of the ball (the point on the either of the two extremes horizontally, left or right)?
(air resistance is neglected, weight is not).
I believe, It's going to end up sort of like a compressed helix (somewhat like in the image below...)
Here L(i) is the distance between 2 consecutive loops...
My question here is, what will be the ratio of L1:L2:L3 here? anything unique? an AP? a GP? Do we have to integrate something? (sorry for bad representation, but it was the best I could draw)
Also will the loops formed, be of equal radii? (Because, I believe them to be..?)
I know that ΣL(i)=u^2/2g (since, that is the maximum height achieved by the ball.)
Sorry for any rookie mistakes, I am a high schooler...
What will be the path traced by a point on the periphery of the ball (the point on the either of the two extremes horizontally, left or right)?
(air resistance is neglected, weight is not).
I believe, It's going to end up sort of like a compressed helix (somewhat like in the image below...)
Here L(i) is the distance between 2 consecutive loops...
My question here is, what will be the ratio of L1:L2:L3 here? anything unique? an AP? a GP? Do we have to integrate something? (sorry for bad representation, but it was the best I could draw)
Also will the loops formed, be of equal radii? (Because, I believe them to be..?)
I know that ΣL(i)=u^2/2g (since, that is the maximum height achieved by the ball.)
Sorry for any rookie mistakes, I am a high schooler...