Project 1 – ENGR213 Fall 2023
Online on Tuesday October 24 at 10 am. Due date and time: October 31, 10 AM
Project:
To be done in teams of maximum 2 students, minimum 1.
Submit the solution online via the Moodle website of the course.
Accepted format: pdf, jpeg, jpg.
You are required to submit the complete solution of your project with explanation when needed.
No need for a cover page, but make sure your name and your partner’s name are clearly
indicated on the first page (if need be).
No question will be answered on the project. It is your responsibility to seek the information
based on what is given.
Introduction:
In this project, you will be asked to use your knowledge of differential equation to propose, with
logical explanation, a design for the engineering problem described below. Your solution should
provide a brief review of the equations you used, the reason you used those particular ones, and
the solution you propose based on your result.
Problem description:
You need to determine the best option to push a small cart from 0 to 8 m/s. Two options are
offered. The first one implies a mass of 100 kg, a push force of 200 N and a friction coefficient 5
times the velocity (friction force approximate by 5 v). This system will cost 1$ for every second of
use. The second one, the mass is 150 kg, the push force is 300 t N (t is the time in second), and
the friction is the same as the other option. However, this one only cost 1.5$ per second of use.
A) Solve the equations of both options.
B) Build a table with the velocity and the cost for both option for the first 5 second of the
run.
C) Which option (with explanation) is the cheapest to reach 8 m/s?
D) Which is the viable option if your employer now ask that the system only reaches 4 m/s?
Why?
Hints:
- Use Newton’s second law to build the equations (Velocity in one dimension)