Study on the Problems of Particle Dynamics and Rigid Bodies (Mechnical Engineering Field) and Electrical Circuits (Electrical Engineering)

## Keywords

system of linear equations
matlab
matrix AX = B

## Abstract

In this study, the problem of particle and rigid body dynamics (mechanical engineering) and electrical circuits (electronic engineering) to be solved is a system of linear equations consisting of several variables from the problem of particle and rigid body dynamics (mechanical engineering) and electrical circuits (electrical engineering). ). For the problem of particle dynamics and rigid bodies (mechanical engineering) it contains variables of acceleration, mass and object force. While the problem of an electrical circuit consisting of a variable electrical resistance, one voltage source and the other voltage source are grounded. These two problems have the following general form:

p11x1 + p12x2 + …..+ p1nxn = k1

p21x1 + p22x2 + …..+ p2nxn = k2

. . . . .

pn1x1 + pn2x2 + …..+ p2nxn = kn

Where each p is a constant coefficient, k is a constant, and n is the number of equations. In this study, a matrix that will be generated from the electric circuit problem with dimensions of 10 x 10 is needed and a matrix of particle dynamics and rigid body problems measuring 3 x 3, so the Matlab program is needed to obtain more accurate, easier and faster calculation results.

To solve the problem of particle dynamics and rigid bodies (mechanical engineering) and electrical circuits (electrical engineering) the following steps are used: (1) Define the problem, (2) Formulate the problem in the form of a system of linear equations, (3) Change the form of the system of linear equations into a matrix form [A] [X] = [C], (4) With the matlab program, the inverse matrix [X] is calculated by the formula [X ] = [A] -1 [C], (5) With this result can answer research questions posed. 