Forced oscillations vs Natural frequency

Click For Summary
SUMMARY

The discussion centers on the relationship between forced oscillations and natural frequency in a spring-mass system. When the frequency of forced oscillation is at a phase difference of Pi/2 radians from the natural frequency, the amplitude of oscillation reaches its maximum. Participants clarify that frequency itself is a scalar quantity, while phase difference is a critical factor in determining oscillation behavior. The correct interpretation of phase differences in oscillatory systems is essential for understanding resonance phenomena.

PREREQUISITES
  • Understanding of basic oscillatory motion principles
  • Familiarity with phase difference concepts in physics
  • Knowledge of spring-mass system dynamics
  • Basic grasp of harmonic motion equations
NEXT STEPS
  • Study the mathematical representation of forced oscillations in systems
  • Learn about resonance and its effects on amplitude in oscillatory systems
  • Explore the concept of phase space in oscillatory motion
  • Investigate the role of damping in oscillatory systems
USEFUL FOR

Physics students, engineers, and anyone interested in the dynamics of oscillatory systems and resonance phenomena.

Victorian91
Messages
18
Reaction score
0
What happens if the frequency of the forced oscillation is Pi / 2 radians out of phase of the natural frequency of the spring mass system? I guess this makes the amplitude of the spring mass system to oscillate at a maximum amplitude.. Am I correct? Thanks in advanced..
 
Physics news on Phys.org
Victorian91 said:
What happens if the frequency of the forced oscillation is Pi / 2 radians out of phase of the natural frequency of the spring mass system? I guess this makes the amplitude of the spring mass system to oscillate at a maximum amplitude.. Am I correct? Thanks in advanced..

How can the frequencies be "out of phase"? Or in phase.
Frequency is a number, a quantity. It has no phase. Unless you mean some complex frequency, that includes dissipation.
Can you explain more?
 
I guess he tried to express the excitation as: F=cos(w*t-pi/2)
 
First of all I would like to apologize if I made myself unclear..

Anyway here it goes..
Basically, if we plot a graph of phase difference between the driving pendulum and driven pendulum against the frequency of the forced oscillation, at the natural frequency of the pendulum, the phase difference will be Pi / 2 radians. Is this correct?

I thought that if the driving pendulum and the driven pendulum is in phase it will have maximum amplitude..

I hope that my description now clears the air more.. Thanks a lot..
 

Similar threads

Graduate Frequency of Undamped Driven Oscillator near Zero
  • · Replies 1 ·
Replies
1
Views
2K
High School What is meant by natural frequency?
  • · Replies 27 ·
Replies
27
Views
4K
Undergrad Where does natural frequency comes from?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad How to Measure the Energy of an Electromagnetic Wave?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad What is the underdamped frequency of an oscillation?
  • · Replies 2 ·
Replies
2
Views
6K
Graduate What is the resonance frequency for oscillating electrons in a metallic net?
  • · Replies 26 ·
Replies
26
Views
4K
Graduate Intuitive Explanation of Mass-on-Spring Oscillator Frequency
  • · Replies 20 ·
Replies
20
Views
4K
Undergrad Physical Meaning of Atomic Oscillations
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad Oscillation with constrained amplitude
  • · Replies 2 ·
Replies
2
Views
8K
Undergrad Two-Mass Oscillator: Plotting Amplitudes Over Frequency in Hertz
  • · Replies 10 ·
Replies
10
Views
2K