Archer’s Paradox

Definition: The phenomenon of an arrow traveling in the direction it is pointed at, at full draw. The bending of the arrow when released is the explanation of the paradox. The experience of the arrow oscillating back-and-forth as it travels towards a target it will straighten out and hit the target.
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First Stage: The arrow is pointing to the right of the target. There is a force and a moment at this point.
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Second Stage: The arrow is now in line with the target, and then moves slightly to the left. There is a moment at the center of mass of the arrow and the equation used is the rigid body equation, which equals I α.  I is the inertia and α is the angular acceleration.
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Third Stage: The arrow leaves bow and flies directly to the target. It is fully oscillating at this moment.
1st:                                    2nd:                                    3rd:
 
first stage of arrow flight after releasesecond stage of arrow flight after releasethird stage of arrow flight after release
cite: http://www.real-w
ld-physics-problems.com/physics-of-archery.html

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