Discover the Physics Behind the Pen Revolving Around Your Finger

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The discussion revolves around the mechanics of a pen revolving around a finger, explaining that the pen rotates due to the application of torque around its center of gravity. Gravitational force is negligible in this rapid motion, while kinetic energy and angular momentum play significant roles in the rotation. The finger acts as a pivot point, allowing the pen to spin effectively. The conversation also draws parallels to baton twirling, highlighting similar rotational dynamics. Overall, the principles of torque and center of mass are key to understanding this pen trick.
Milind_shyani
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Hi,
Suppose that I am holding a pen in my hand and then i move my hand in such a way that the pen starts revolving around my index finger. It rotates in such a way that it seems that my finger is the center of the circular path(the path, through which the pen is revovling).
I hope I have described the problem properly. Now can you tell me why the pen revolves around my finger without any support and what are the componets of force acting on it
 
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well, your pen could be rotating. If you put a pen on a table, you can apply torque to the pen so that it will rotate around its centre of gravity. The same will happen with your pen around your finger, because you place your finger close to the pen's center of gravity, and then apply torque to begin the rotation. You have gravitational force which is negligible since I assume you preform this pen trick rather rapidly, then plain kinetic energy and angular momentum. Which are not forces, only gravity is. I hope I understood your question correctly.
 
I can do simple pencil / spin spinning around my thumb, but my thumb is big so I start with the center of mass a bit a way from my thumb, and the center of mass approaches my thumb while the pen/pencil rotates around my thumb.

Here's one link to a website that includes a link to a video.

http://www.superhandz.com/videos.html#penspinning

Good baton twirlers can do similar movements on a larger scale:

 
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I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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