This document describes a sample assignment to simulate and optimize the range of a simplified trebuchet model. The model predicts projectile range based on the fulcrum position and launch angle. It defines variables for the launch angle and fulcrum position, evaluates the projectile range for combinations of these variables using a treb function, and plots the range as a surface over the variable values. The overall goal is to illustrate how optimization of design variables can maximize the projectile range for a trebuchet.

1. SINGLE OBJECT RANGE DETECTION (SAMPLE ASSIGNMENT)
Our online Tutors are available 24*7 to provide Help with Help with Single Object Range
Detection Homework/Assignment or a long term Graduate/Undergraduate Help with
Single Object Range Detection. Our Tutors being experienced and proficient in Help
with Single Object Range Detection ensure to provide high quality Help with Single
Object Range Detection Homework Help. Upload your Help with Single Object Range
Detection Assignment at ‘Submit Your Assignment’ button or email it
to . You can use our ‘Live Chat’ option to
schedule an Online Tutoring session with our Help with Single Object Range Detection
Tutors.
Trebuchet Range Simulation and Optimization
This sample assignment shows a Model of a simple trebuchet that predicts projectile range based on
fulcrum position & launch angle.
plot_treb.m
% Plot the projectile range for a simplified trebuchet over a
range of
% design variable values. Illustrates the nonsmoothness in
objective
% function that results from discrete events in the
simulation.
%
% Model corresponds to an example video created for ME
149 (Engineering
% System Design Optimization), a graduate course taught
in the mechanical
% engineering department at Tufts University. The video
can be viewed at:
%
% http://www.youtube.com/watch?v=3QUJNEzloDo
%
% Author: James T. Allison, Ph.D.
clear
% Define points for full-factorial numerical sampling
x1 = pi/2:0.1/2:pi; % theta_r
x2 = 0.6:0.005:0.99; % l1
range = zeros(length(x1),length(x2));
for i=1:length(x1)
for j=1:length(x2)
% evaluate projectile range
info@assignmentpedia.com

2. range(i,j) = treb([x1(i),x2(j)]);
end
end
% Plot range as a function of release angle and fulcrum
position
figure(2);
surf(x2,x1,range);
xlabel('l1 (m)')
ylabel('theta_r (rad)')
zlabel('range (m)')
visit us at www.assignmentpedia.com or email us at info@assignmentpedia.com or call us at +1 520 8371215