Spin Needles in Gravity-less World: Does It Work?

  • Context: Graduate 
  • Thread starter Thread starter hkyriazi
  • Start date Start date
  • Tags Tags
    Spinning
Click For Summary
SUMMARY

The discussion centers on the mechanics of spinning a needle in a gravity-less environment without friction. The primary inquiry is whether a needle, initially twirling, can be transformed into spinning by tapping its ends or using a funnel to align its angular momentum with its long axis. The original poster argues that the needle will spin faster after exiting the funnel due to a reduced moment of inertia, while Professor Eugene Butikov contends that the needle will revert to twirling without achieving spin. The analysis also explores the effects of tapping the needle's ends, suggesting that this could induce a combination of horizontal and vertical motions, resulting in a precessing effect.

PREREQUISITES
  • Understanding of angular momentum and its conservation
  • Familiarity with rotational motion concepts
  • Basic knowledge of inertial frames of reference
  • Experience with frictionless motion scenarios
NEXT STEPS
  • Research the principles of angular momentum conservation in frictionless environments
  • Study the effects of moment of inertia on rotational speed
  • Explore the concept of precession in rotating bodies
  • Investigate the dynamics of motion in non-inertial reference frames
USEFUL FOR

Physics enthusiasts, students studying mechanics, and anyone interested in the dynamics of rotational motion in idealized environments.

hkyriazi
Messages
174
Reaction score
2
In a gravity-less world without friction, starting with a stationary needle, would one be able to make it spin by first flicking it, to cause it to twirl (so that its axis of rotation is perpendicular to its long axis), and then tap its ends repeatedly in some way so as to cause the twirling motion to transform into spinning (i.e., so that the axis of rotation is lined up with the needle's axis)?

(I posted a long and somewhat involved variant of this question on the "homework/introductory physics" section over a week ago -- though it's not a homework problem -- without getting any response. It was titled "A simple rotational problem." I thought that posing it in this simpler way, I might at least get a comment or two.)

One possibility would seem to be to have the twirling needle be scooped up by the wide end of an accelerating funnel, so that, in effect, the needle would be "going down the drain," making a series of reorienting, frictionless contacts with the sides of the funnel. Let's say the funnel approaches the needle so that its axis of symmetry is almost (but not quite) lined up with the needle's angular momentum axis (off only a bit, so that the needle doesn't get lodged in the funnel).

The question is, when the needle comes out of the funnel (whose bottom is just barely wider than the needle), so that its own axis has been forced to rotate almost 90 degrees, so as to basically line up with its original angular momentum axis, will it be spinning?

I say yes, and that it'd be spinning much faster than it twirled, owing to the much smaller moment of inertia in this orientation. But, I have an expert who disagrees with me (Professor Eugene Butikov, of the Univ. of St. Petersburg, Russia), who says the needle would have zero spin about its long axis, and would immediately go back to twirling, but at an angle determined by the last contact it makes as it leaves the funnel.
 
Physics news on Phys.org
In another version of the same problem, I posited that one merely tap the ends of the horizontally twirling needle, such that when it's floating right in front of one's face, one lightly taps the left tip downward, and the right tip upward, so that one imparts a relatively small torque that points right at you, and at right angles to the needle's initial angular momentum.

The question is, what is the motion of the needle after those light taps?

If one considers oneself to be rotating in the same frame as the object, so that the object appears stationary, ones taps would obviously cause the needle to twirl counterclockwise with its center of mass stationary. The top side of the needle would flip over and back once with each vertical rotation. The inertial frame's horizontal twirling has the top side always up, and so when one combines these two motions -- a strong horizontal twirling and weak vertical twirling -- the main motion must still be an approximately horizontal rotation, but now where the top of the needle rotates to the bottom and back up periodically, which means the needle must be spinning about its axis, which means it must also be precessing somewhat.

Does this seem like a reasonable qualitative analysis to anyone besides me?
 
Last edited:

Similar threads

  • · Replies 36 ·
2
Replies
36
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 49 ·
2
Replies
49
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 3 ·
Replies
3
Views
1K