How do you determine the amplitude of a wave exhibiting simple harmonic motion?

Click For Summary
SUMMARY

The amplitude of a wave exhibiting simple harmonic motion in a string fixed at both ends is determined by the tension, applied force, and length of the string. When the string vibrates, the amplitude at the anti-node is a function of the intensity displacement, influenced by the oscillator's amplitude at the resonant frequency. Typically, the resonant frequency for such a setup is around 60 Hz, with a 20 Hz step bandwidth to the next resonant frequency. Understanding these dynamics is crucial for effective measurement and experimentation in a lab setting.

PREREQUISITES
  • Understanding of simple harmonic motion
  • Knowledge of wave resonance principles
  • Familiarity with tension and force in strings
  • Experience with frequency measurement techniques
NEXT STEPS
  • Research the principles of wave resonance in fixed strings
  • Learn about measuring frequency and amplitude in oscillating systems
  • Explore the relationship between tension and wave speed in strings
  • Investigate the effects of varying applied force on wave amplitude
USEFUL FOR

Physics students, lab technicians, and engineers interested in wave mechanics and resonance phenomena in strings.

BrendanC
Messages
1
Reaction score
0
When a string, fixed at both ends, has a force exerted on it, how do you determine what the amplitude will be, if the tension, applied force, and length are known?
 
Physics news on Phys.org
i have no idea, but clear this up for me, is the string resonating on these frequencies? i think so, and if it is, the amplitud ought to diverge, am i right? I've thought about this for a while, for i needed to measure these frequencies on the lab and i wanted to know where to put the oscillator so it would all move as smooth as it could.
 
How is the force acting on the string? Is it a pulse?

If so the amplitude of the anti-node of the string is a function of the intensity displacement. In other words, if the string has a tension on it (some mass) and then you vibrate the string, the amplitude of the vibrator will determine the amplitude at the resonant frequency. In my experience that's around 60 Hz with a 20 Hz step bandwidth to the next resonant frequency.
 

Similar threads

Undergrad The speed of a waves on a string in Simple harmonic motion
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Solutions to Simple Harmonic Motion second order differential equation
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Standing waves on a string experiment -- Relative amplitude of harmonics
  • · Replies 32 ·
2
Replies
32
Views
6K
Undergrad Let a standing wave of length L go, get traveling wave of length 2L?
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad Question about driven harmonic oscillator
  • · Replies 17 ·
Replies
17
Views
3K
Graduate Addition of Harmonics in a string wave
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Angular Velocity in Simple Harmonic Motion
  • · Replies 11 ·
Replies
11
Views
16K
High School Phase angle and Phase in Simple harmonic motion
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Phase constant in simple harmonic motion
  • · Replies 3 ·
Replies
3
Views
9K
Undergrad Simple Harmonic Motion: conceptual idea of angular frequency
  • · Replies 2 ·
Replies
2
Views
2K