Longitudinal vibrations in solid metal rods

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Discussion Overview

The discussion revolves around the phenomenon of longitudinal vibrations in solid metal rods, particularly focusing on the concept of nodes when the rod is held at its center. Participants explore the mechanics behind why holding the rod creates a node and the implications of this on the vibrations induced by striking the rod.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the reasoning behind the formation of a node at the point where the rod is held, suggesting that it seems implausible that fingers can prevent atomic vibrations.
  • Another participant mentions that vibrations can take on a sine wave form, implying that the presence of a node is a result of the holding force, but does not clarify why this occurs.
  • A response clarifies that holding the rod minimizes the amplitude of vibrations at the point of contact, defining nodes as points of zero amplitude and antinodes as points of maximum amplitude.
  • One participant explains that while holding the rod dampens transverse resonant modes without a node at the center, it does not convert longitudinal waves into transverse waves.
  • Another participant introduces a conditional perspective, stating that whether the point of contact is a node depends on the dimensions and strength of the metal piece, providing an example of a metal punch tool to illustrate their point.

Areas of Agreement / Disagreement

Participants express differing views on the mechanics of nodes in relation to holding the rod. Some agree that holding the rod creates a node, while others question the conditions under which this occurs, indicating that the discussion remains unresolved.

Contextual Notes

Participants have not fully explored the assumptions regarding the nature of vibrations in different types of metal rods, nor have they resolved the mathematical implications of the waveforms involved.

klng
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Hi people,

I have a question which i hope you helpful guys/gals can help to shed light on.

We all know when we strike one end of a solid metal rod with a hammer sideways (i.e. from left to right), longitudinal vibrations will be set up across the length of the rod. Textbooks and websites always say that when we hold with our fingers in the centre of the rod, that location becomes a node.

My question is why does our fingers introduce a node? Are our fingers so strong that we can force every metal atom to remain still and not vibrate to and fro? Sounds a bit far stretched to me...

Thanks for the advice.
 
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Hi, vibrations discontinue and becomes like a sine wave..so you there will be a node something..sometimes force on figures also matter..for e.g. in string musical instrument..
 
Hi Rajini,

Thanks for the reply. But i guess it still doesn't address the question why the presence of the holding fingers force that location to become a node.

Any other responses from the experienced forummers please?

Thanks!
 
Hi klng,
when you hold at a point..you will minimize the amplitude of the vibration at that point..
Node= zero amplitude and antinode=max. amplitude.
Is that okay..
 
As you point out, striking a solid metal rod on the end with an axial hammer hit will induce a longitudinal compression wave in the rod that will reflect at the ends and reflect back and forth from end to end. Holding the rod in the center will damp all transverse resonant modes that do not have a node in the center. However, holding the rod in the center won't (I think) convert a longitudinal wave into a transverse wave. The lowest resonant transverse mode is a half-wave with maximum transverse motion at the ends, and with a node in the center. The next is a 3/2-wave mode.
Bob S
 
Depends on the scenario. A long thin piece of metel - Yes - point of contact = node. But short strong piece of metel - No. Proof: hold a metel punch tool with your bare hands and hit it hard with a hammer! OUCH! It really hurts. The transverse forces go into your fingers.
 

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