Wave Mechanics Problem Double Pendulum and a Spring

In summary, the conversation discusses how to analyze a system with a driving force applied to m1, m2, or both. The suggested approach is to write the net energy of the system and differentiate it to find the relation between a and x. It is noted that if a force continuously acts on the system, the net energy content will not remain constant.
  • #1
kk27
1
0
I'm in a wave mechanics class and a homework assignment asks us to describe what would happen if a driving force is applied to m1, m2, or both. The explanation should be both calculational and written. I have no idea how to model this system in equation form! Help!
 

Attachments

  • Midterm 2 Diagram.pdf
    63.6 KB · Views: 262
Physics news on Phys.org
  • #2
Although you could analyse the situation using the equations of dynamics a simpler way is to write the net energy of the system at a general point in its path(which would include kinetic and potential energies) and differentiate the function and then put it equal to zero since the energy of the system remains constant.That should tell you the relation b/w a and x.
Note-If a force continuously acts on the system the net energy content of the system is not constant since you have work energy coming into the system.
 

What is a double pendulum?

A double pendulum is a physical system consisting of two pendulums connected together by a hinge. The motion of the double pendulum is highly complex and chaotic, making it a popular topic of study in wave mechanics.

What is a spring in wave mechanics?

A spring is a mechanical device that is used to store potential energy through the deformation of its coils. In wave mechanics, a spring is often used to model the behavior of simple harmonic oscillators, which can help us understand more complex systems.

How does a double pendulum and a spring relate to wave mechanics?

The double pendulum and a spring are both physical systems that exhibit wave-like behavior. The motion of the double pendulum can be modeled using wave equations, and the behavior of a spring can be described using simple harmonic motion.

What is the significance of studying the double pendulum and a spring in wave mechanics?

Studying the double pendulum and a spring in wave mechanics allows us to better understand the behavior of complex physical systems. It also helps us develop mathematical models that can be used to predict the behavior of other systems, such as molecules and atoms.

What are some real-world applications of wave mechanics and the double pendulum and a spring?

Wave mechanics and the double pendulum and a spring have various real-world applications, including in engineering, physics, and biology. For example, wave mechanics is used in the design of bridges and buildings, while the double pendulum and a spring have been used to study the movement of molecules in chemical reactions and the motion of limbs in human and animal locomotion.

Similar threads

  • Quantum Physics
2
Replies
36
Views
1K
  • Advanced Physics Homework Help
Replies
2
Views
4K
  • Quantum Interpretations and Foundations
4
Replies
105
Views
4K
  • Advanced Physics Homework Help
Replies
5
Views
8K
  • Advanced Physics Homework Help
Replies
7
Views
4K
  • Advanced Physics Homework Help
Replies
1
Views
2K
  • Advanced Physics Homework Help
Replies
1
Views
3K
  • Introductory Physics Homework Help
Replies
14
Views
1K
  • Advanced Physics Homework Help
Replies
1
Views
1K
Replies
5
Views
891
Back
Top