Understanding Oscillations in Coupled Pendulum Systems

  • Thread starter heman
  • Start date
  • Tags
    Shm
In summary, the conversation discusses a problem involving two pendulums connected by a spring and conditions for finding the frequency of oscillations. The two conditions given include specific values for theta(1) and theta(2) as well as zero velocities. The question also asks for interpretation of the results and for clarification on what happens when g equals zero in the second case. The person seeking help is asked to provide a more detailed description of the problem, including a definition of the coordinate system and the value of g.
  • #1
heman
361
0
Dear friends this question is really annoying me .please. help me in understanding this question and the concepts involved in it.


Two pendulums of equal length of bob of mass m are connected by a spring of spring constant k.find the frequency of oscillations.there are two conditions also given
<1>theta(1)=0.1,theta(2)=-0.1 and zero velocities
<2>theta(1)=0.1,theta(2)=0 and zero velocities.
interpret the above two results.
what happens when g=0 in 2nd case.
 
Physics news on Phys.org
  • #2
Without some definition of the coordinate system it is nearly impossible to help you. What is g? Please provide a more complete discription of the proplem.
 

FAQ: Understanding Oscillations in Coupled Pendulum Systems

What is SHM in the context of two pendulums?

SHM stands for Simple Harmonic Motion, which refers to the back-and-forth motion of a system that follows a sinusoidal pattern. In the case of two pendulums, SHM describes the motion of each pendulum as it swings back and forth.

How are the two pendulums connected in this question?

The two pendulums are connected by a string or rod that allows them to swing together. This connection ensures that the pendulums are always in the same phase or position in their oscillation.

What factors affect the motion of the two pendulums?

The motion of the two pendulums is affected by factors such as the length of the pendulums, their masses, the amplitude of their swings, and the strength of the string or rod connecting them.

How is the motion of the two pendulums related to each other?

The motion of the two pendulums is related through the conservation of energy. As one pendulum swings back and forth, it transfers energy to the other pendulum, causing it to start swinging. This transfer of energy continues until both pendulums reach their maximum amplitude.

What is the significance of studying two pendulums in SHM?

Studying two pendulums in SHM helps us understand the principles of oscillatory motion and the behavior of systems connected in a harmonic fashion. It also has practical applications in fields such as engineering and physics, where SHM is commonly observed and utilized.

Similar threads

I Solving for the Motion of a Spring Pendulum
3
Replies
76
Views
5K
I Two-Mass Oscillator: Plotting Amplitudes Over Frequency in Hertz
Replies
10
Views
1K
A Modeling the damping of a physical rigid pendulum
Replies
1
Views
973
A Pair of interacting systems, driven coupled harmonic oscillators
Replies
7
Views
1K
Component forces of a pendulum
Replies
2
Views
1K
How to Prove that a Flying Pendulum follows SHM
Replies
9
Views
2K
I Work-Energy Theorem for Moving Block and Spring System?
Replies
4
Views
2K
B Why in two block systems do both blocks tend to have the same velocity?
Replies
6
Views
579
Simple Harmonic Motion: why sin(wt) instead of sin(t)?
Replies
3
Views
6K
Visualizing the SHM of 2 blocks attached by a spring
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top