Create Standing Waves with Antinodes at the Ends

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Standing waves typically have nodes at both ends, but the discussion explores the possibility of having antinodes at the ends instead. It suggests that using an open air column is a more effective example for demonstrating this concept compared to vibrating strings, which lack sufficient endpoints. Clamping a rigid object, like a metal rod, in the center of a string can allow for the observation of antinodes. The equations of motion for a vibrating rod differ from those of a string, being fourth order, yet they still exhibit nodes and antinodes. This exploration highlights the versatility of different mediums in studying wave phenomena.
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From what I've seen, standing waves (which are really cool looking) have nodes (no displacement) at either end. What would happen if antinodes were at the ends instead of nodes? What could you do to make this happen?
hmmm...
 
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Look up oscillations of an air column in an open pipe.

Link: http://www.cord.edu/dept/physics/p128/lecture98_34.html
 
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huh said:
What would happen if antinodes were at the ends instead of nodes?

I don't see how this would work with a vibrating string, since there are not enough end points... the air column is a more useful example of standing waves in that respect.
 
Obviously you couldn't really do it with strings. The open-ended air column is the best analogy, or just look at half of a string.
 
It can be done if you clamp something more rigid like a metal rod in the centre.
 
Tie the end of the string loosely to a transverse rod so the loop of string can slide freely along the rod.
 
Wow. That's cool. Thanks :)
 
Kurdt said:
It can be done if you clamp something more rigid like a metal rod in the centre.

The equations of motion for a vibrating rod are fourth order, so it would be a bit different from a vibrating string. However, you still get to see nodes and anti-nodes.
 
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