Equation of motion in Mathematica

Click For Summary
SUMMARY

The discussion focuses on implementing a procedure in Mathematica to calculate the time difference t(x_1) - t(x_0) using the conservation of energy principle for a potential V(x). The user seeks assistance in formulating this procedure based on the given equation of motion and the conditions for energy of a mass point. Key tools mentioned include Mathematica, which is essential for performing symbolic computations and solving differential equations related to motion.

PREREQUISITES
  • Understanding of classical mechanics, specifically the conservation of energy.
  • Familiarity with Mathematica version 12.0 or later for symbolic computation.
  • Knowledge of potential energy functions V(x) and their implications in motion.
  • Basic skills in programming within Mathematica to write procedures and functions.
NEXT STEPS
  • Research how to implement symbolic integration in Mathematica to solve for time differences.
  • Learn about defining and manipulating functions in Mathematica to represent potential energy V(x).
  • Explore the use of differential equations in Mathematica to model motion based on energy conservation.
  • Study examples of similar physical problems solved in Mathematica to gain insights into procedural writing.
USEFUL FOR

Students in physics or engineering, educators teaching classical mechanics, and anyone looking to apply Mathematica for solving motion-related problems using energy conservation principles.

bumchack
Messages
1
Reaction score
0
I have a question to a physical task in Mathematica. We have this equation of motion:

8kbHg.png


For energy of masspoint there is the condition :

4xOn4.png


I have to write a procedure that uses the law of the conservation of energy for the potential V(x) to calculate t(x_1) - t(x_0) when there are given two points x_0 and x_1.

How could I do this in mathematica ? would be so grateful for help!
 

Attachments

  • 8kbHg.png
    8kbHg.png
    585 bytes · Views: 841
  • 4xOn4.png
    4xOn4.png
    334 bytes · Views: 755
Physics news on Phys.org
I this homework?
 

Similar threads

Mathematica Problems solving this differential equation for a Pendulum with Mathematica
  • · Replies 4 ·
Replies
4
Views
4K
Mathematica How do you calculate determinants and eigenvalues in Mathematica?
  • · Replies 3 ·
Replies
3
Views
4K
Mathematica Mathematica - How to Graph Direction Fields of ODEs?
  • · Replies 9 ·
Replies
9
Views
3K
Mathematica Solve equation perturbatively
  • · Replies 2 ·
Replies
2
Views
2K
Mathematica Development (flattened version) of a cylinder cut by a curved surface
  • · Replies 4 ·
Replies
4
Views
3K
Mathematica Neural networks in Wolfram Mathematica
  • · Replies 1 ·
Replies
1
Views
4K
Mathematica Black Hole shadow temperature profile
  • · Replies 0 ·
Replies
0
Views
2K
Mathematica Trouble with using the command WhenEvent in Mathematica
  • · Replies 2 ·
Replies
2
Views
3K
Mathematica Errors when solving an equation
  • · Replies 3 ·
Replies
3
Views
1K
Mathematica Plotting a parameter Plane of a spring pendulum in Mathematica
  • · Replies 1 ·
Replies
1
Views
2K