Pendulum with spring instead of rod

Click For Summary
The discussion revolves around the complexities of modeling a pendulum that uses a spring instead of a solid rod. Unlike a simple pendulum with one degree of freedom (the angle), this setup introduces two degrees of freedom: the angle and the spring's extension. Traditional methods like Euler's or Runge Kutta are mentioned as suitable for simpler models, but the spring complicates the equations of motion. Lagrangian mechanics is suggested as a standard approach to derive the necessary equations for this non-harmonic oscillation. The conversation emphasizes the need for a dedicated thread to maintain forum organization.
nneutrino
Messages
7
Reaction score
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.
 
Physics news on Phys.org
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:
 
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
 
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:

Thread 'Mousetrap Car Energy efficiency'

For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...
View full post »

Similar threads

Undergrad Solving for the Motion of a Spring Pendulum
  • · Replies 76 ·
3
Replies
76
Views
7K
Runge-Kutta Projectile Approximation From Initial Conditions
  • · Replies 9 ·
Replies
9
Views
4K
Undergrad Work-Energy Theorem for Moving Block and Spring System?
  • · Replies 4 ·
Replies
4
Views
3K
Is the Stress in a Twisted Helical Spring Caused by Torsion or Bending?
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Angular velocity of a rod and what formula to use while solving.
  • · Replies 15 ·
Replies
15
Views
2K
Looking to find the amount of energy stored in a clock spring
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Mass of Backpack in Moving Elevator
  • · Replies 10 ·
Replies
10
Views
2K
MATLAB Solving an Elastic Pendulum Equation with Matlab/Excel
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Modeling the damping of a physical rigid pendulum
  • · Replies 1 ·
Replies
1
Views
2K
Double Pendulum Motion: Plotting theta2 vs Time
  • · Replies 1 ·
Replies
1
Views
4K