Pendulum with spring instead of rod

In summary, the conversation is about solving a problem involving a pendulum with a spring instead of a solid rod, which adds a second degree of freedom. The suggested methods for solving it are Euler's method or Runge Kutta method, but the standard way is to use Lagrangian mechanics. The poster is seeking help with finding an appropriate numerical model for calculating the pendulum's position over time. The thread has been closed for moderation, with a suggestion to create a new thread for the question.
  • #1
nneutrino
7
1
When we have solid rod instead of spring I can solve this problem in Microsoft Excel either with Euler´s method or Runge Kutta method, but that spring makes this problem hard for me.
 
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  • #2
That problem is a lot more complicated. Basically, instead of the one degree of freedom that you had for the simple pendulum (the angle), you have two (the angle, and the extension of the spring). The standard way to solve such a problem is to obtain the equations (note that I said it in plural) of motion with, say, Lagrangian mechanics. To keep this thread dedicated to its original title (Non-harmonic oscillation of pendulum) it would probably be better if you created a new thread with this question to keep the forum neatly organized. :oldbiggrin:
 
  • #3
Hi,
Can you help me to find out appropriate numerical model of calculating position depending on time of special pendulum. It is basically gravity pendulum but we have a spring instead of rod. (picture)
300px-Simple_gravity_pendulum.svg.png
 
  • #4
Thread closed for Moderation...

Edit (fresh_42): Post #3 is actually the opening post, which has been separated from another thread.
Thread re-opened.
 
Last edited by a moderator:

Related to Pendulum with spring instead of rod

1. What is a pendulum with spring instead of rod?

A pendulum with spring instead of rod is a type of pendulum where the weight is attached to a spring instead of a straight rod. This allows for a different type of motion and can be used to study different aspects of pendulum physics.

2. How does a pendulum with spring instead of rod work?

A pendulum with spring instead of rod works by utilizing the principles of simple harmonic motion. When the weight is pulled to one side and released, the spring will stretch and then contract, causing the weight to move back and forth in a regular pattern.

3. What are the advantages of using a pendulum with spring instead of rod?

One advantage of using a pendulum with spring instead of rod is that it allows for a wider range of motion and can be used to study different types of oscillatory motion. It also allows for the study of different parameters, such as the spring constant and the mass of the weight, to see how they affect the motion of the pendulum.

4. How is the period of a pendulum with spring instead of rod affected by different factors?

The period of a pendulum with spring instead of rod is affected by the length of the spring, the mass of the weight, and the spring constant. A longer spring, a heavier weight, and a stiffer spring will result in a longer period, while a shorter spring, a lighter weight, and a more flexible spring will result in a shorter period.

5. What are some real-world applications of a pendulum with spring instead of rod?

A pendulum with spring instead of rod can be used in various real-world applications, such as in clocks and metronomes. It can also be used in scientific experiments to study the principles of oscillatory motion and energy conservation. Additionally, it can be used in engineering to design and test suspension systems and shock absorbers.

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