Here is a daily log for Jakob Grzesik from 2017.6.5 to 2017.8.5 in Saito Lab in Tohoku Univ.

## Daily schedule (tentative) †

• 09:00-09:30 Begin climbing to campus
• 09:30-09:35 Succumb to burning feeling in calves and take a break
• 09:35-10:00 Resume climb to lab
• 10:00-11:00 Finishing/continuing any work from previous day
• 11:00-12:00 Discussion with Shoufie-san
• 12:00-13:00 Lunch
• 13:00-13:30 Prepare for daily report presentation
• 13:30-14:30 Meeting with Saito-sensei
• 14:30-18:30 Start working on work for tomorrow's presentation and updating Pukiwiki

## Goal of the project †

• Synchronization of particle motion

This section is for posting questions from Haihao-san and answers from other group members.

• Please list here with some simple reasons or details.
• For every problem, give a tag double asterisks (**) in the code so that it will appear in the table of contents.
• For the answer, give a tag triple asterisks (***) in the code below the problem in order to make a proper alignment.
• List from new to old.

## Report †

This part is basically written by Yakub-san. Any other people can add this. Here the information should be from new to old so that we do not need to scroll.

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

To do:

### June 8 †

• Solved problem for HW and did some more exercises with Lagrangian mechanics and ODEs.
• Learned about an example of synchronization phenomenon with Saito-sensei. Involved first getting equations of motion using Lagrangian mechanics, then applying Linear Algebra and differential equations. Ended up with
• Worked on deriving Euler-Lagrange equation in systems with non-conservative forces.

To do:

• Begin learning how to plot equations effectively. JSXGraph looks very promising, but difficult to learn.
• Design programs to numerically solve differential equation systems. Start off with Euler's method, than build upon that to do the Runge Kutta method.
• Solidify understanding of EL in non-conservative situation to the extent that I can follow and present the derivation.

### June 7 †

• Walked to campus, took the right path, so it only took about 25 mins to make it to the lab.
• Plotted results for last night's HW with varying parameters.
• Practiced getting equations of motion for more complicated systems using Lagrangian Mechanics.
• Considered systems with damping forces and modelled motion using differential equations.

To do:

• Apply linear algebra and ODEs to solve a general second order differential equations problem.
• Learn how to solve ODEs and linear algebra questions using python(Start with Euler's approximation method).

### June 6 †

• Walked to campus, got lost at campus. Took about 45 mins.
• Finished working on HW about action and the Euler Lagrange equation
• Worked on learning about differential equations.
• Worked on applying Lagrangian mechanics to double pendulum.
• Had lunch with Nulli-san at Espace Ouvert
• First "experiment": synchronization of vegetable can movement within a box due to forces exerted while carrying it and walking at a certain pace.

To do:

• Solve equations of motion for a box on a spring with some initial external force over a fixed period of time, both before and after external force is removed.
• Numerically solve ODEs in Python(perhaps using numpy and scipy packages).

### June 5 †

• Shoufie-san picked me up from Urban Castle Kawauchi, took me to campus by subway (International Center -> Aobayama, 250 yen ~20 mins total)
• Nugraha-sensei helped me set up lab server access, mail client, etc.
• Got a quick bento lunch on campus and ate with Saito-sensei who played his ukulele
• Learned about Lagrangian mechanics, specifically in the context of a simple pendulum.
• Learned a bit about the general solutions to second-order differential equations.

To do:

• Learn what "action" in physics is
• Derive the Euler-Lagrange Equation