﻿ Matlab For Engineering

# Matlab For Engineering

## Analytical Engineering

• I used Matlab to solve basic analytical engineering problems as part of my 1st year mechanics module. I used basic calculus to calculate and plot linear velocity data from a piston of given geometry over 2 rotations.

```[AB,BC,BG,W,t]=deal(0.6,0.1,0.08,(40*2*pi),sym('t'));%define dimensions and algebraic variables.
theta=W*t; %define angle in terms of angular speed and time
tlim = 2/40; %define time for 2 cycles
alpha=asin((BC/AB)*sin(theta));%define geometry of problem
AC = -AB*(cos(alpha)) -(BC*cos(theta));%expression for displacement AC
Av=diff(AC)

GAvector=[-BC*cos(theta)-BG*cos(alpha),(BC*sin(theta)-BG*sin(alpha))]; %vector containing i and j components of displacement AG
Gvvector=diff(GAvector); %differentiate displacement vector
Gv=norm(Gvvector)%find the magnitude of the veloicty vector
fplot(Gv,[0 tlim],'g'); %plot velocity of G within time intervals
``` I used iterative methods with different time steps to plot a ladder sliding down a wall before comparing it to a closed form solution

```for i=(1:N3); %count i from 1 to number of steps (0.001 for third for loop)
t3(i+1)=t3(i)+h3;
theta3(i+1)=theta3(i)+h3*(omega3(i));
alpha3(i)=(3*g*sin(theta3(i))/8);
omega3(i+1)=omega3(i)+h3*(alpha3(i));
end
plot(t3,theta3,'b'); %plot angular position against time for 0.001
``` ### Edge Detection Applied to Matlab Trees Picture

I implemented a basic edge detection function that could be applied to different images with a variable threshold.

```function output = edge_detection(input);%define sub function