Archive for the ‘Mathematical Modeling’ Category

Dear lectors, in this post, have a representation of Ed. (1.30) of Goldstein’s Book about the kinetic energy of a particle where r is the radius vector and T is the kinetic energy. The particle’s mass has the values: m_o = 10; fdec = 0.05; m = m_o(1 – fdect(1,1:f)) and is variable for the implementation of the general concept of momentum and kinetic energy. Figures made with MATLAB. Please visit my other blogs and social networks.

Dr. Jorge Luis Mírez Tarrillo – PERU
E-mail: jmirez@uni.edu.pe
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Dear lectors, in this post I analyzed the equation on page 17 of Goldstein’s Book about the total angular momentum of a mechanical system conformed by two particles. On general concept of variable mass under the rule: m_o = 10; fdec = 0.5; m = m_o(1 – fdect(1,1:c-1)); and variable and different radius vector of each particle. Individual angular moment has been calculated and the sum of both particles too by to determine the total angular momentum. All made in MATLAB code. Regards.

Dr. Jorge Luis Mírez Tarrillo – PERU
E-mail: jmirez@uni.edu.pe
Personal Webisite: https://jorgemirez2002.wixsite.com/jorgemirez
Facebook http://www.facebook.com/jorgemirezperu 
Linkedin https://www.linkedin.com/in/jorge-luis-mirez-tarrillo-94918423/
Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=56488109800
Google Scholar: https://scholar.google.com/citations?user=_dSpp4YAAAAJ
Admin Group MATLAB in Facebook: https://www.facebook.com/groups/Matlab

Dear lectors, in this post I write about Eq. 1.8 of Goldstein’s Book. It is about torque N equal to the cross product of radius vector r and the force N on a particle. All these vectors have tridimensional components. MATLAB has the cross command for these cases. The equation has an appearance simple but its potential is big using programming of high level.

Dr. Jorge Luis Mírez Tarrillo – PERU
Personal Webisite: https://jorgemirez2002.wixsite.com/jorgemirez
Facebook http://www.facebook.com/jorgemirezperu 
Linkedin https://www.linkedin.com/in/jorge-luis-mirez-tarrillo-94918423/
Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=56488109800
Google Scholar: https://scholar.google.com/citations?user=_dSpp4YAAAAJ
Admin Group MATLAB in Facebook: https://www.facebook.com/groups/Matlab

Dear lectors, in this post the equations 1.7 of Goldstein Book about Classical Mechanics. The angular momentum of a particle has been simulated. Both radius vector r and momentum p han been generated with random command. As 100 vectors has been using for the figure made in MATLAB of this post. Regards.

Dr. Jorge Luis Mírez Tarrillo – PERU
Personal Webisite: https://jorgemirez2002.wixsite.com/jorgemirez
Facebook http://www.facebook.com/jorgemirezperu 
Linkedin https://www.linkedin.com/in/jorge-luis-mirez-tarrillo-94918423/
Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=56488109800
Google Scholar: https://scholar.google.com/citations?user=_dSpp4YAAAAJ
Admin Group MATLAB in Facebook: https://www.facebook.com/groups/Matlab

Hello readers. In this post I was considered the m = m_o(1 – fdect(1,1:c-1)) with m_o = 10 and fdec = 0.5. Using the equations (1.2) and (1,3) of Goldstein Book and its implementation on MATLAB Code have as result the next figures during a simulation time equal to 10. The particle of variable mass is a generalization of model, the most easy is constant mass (usual in engineering calculus)

Dr. Jorge Luis Mírez Tarrillo – PERU
Personal Webisite: https://jorgemirez2002.wixsite.com/jorgemirez
Facebook http://www.facebook.com/jorgemirezperu 
Linkedin https://www.linkedin.com/in/jorge-luis-mirez-tarrillo-94918423/
Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=56488109800
Google Scholar: https://scholar.google.com/citations?user=_dSpp4YAAAAJ
Admin Group MATLAB in Facebook: https://www.facebook.com/groups/Matlab