Mass and Drag Project on Matlab, dsolve command."DVQ Math"

Anonymous
timer Asked: Feb 27th, 2016

Question description

The goals for this project include one or more of the following:

  1. Using MATLAB with the dsolve and ezplot commands.
  2. Making use of script M-files in MATLAB.
  3. Using MATLAB along with if/then statements to perform approximation techniques, and bring in the plot command; or do the aforementioned in a spreadsheet (most likely Excel).
  4. In either a spreadsheet or with MATLAB, approximate a system of differential equations by tweaking previous files to adapt to the new problem.


The Project is:


Two identical capsules are manufactured; they are both attached to parachutes and have a compartment inside of them for a small payload.  If they are falling, they experience a drag force numerically equal to .1 times the velocity.  The capsules and parachutes have masses of 10 kg each.

One of the capsules is loaded with a 15 kg weight; this capsule (the heavy capsule) would now have a mass of 25 kg.  They are dropped from a great height.  Will they fall at the same speed?  We know that if air resistance is absent, feathers will fall as fast as bowling balls.  But with these two objects, which drag is affecting in the same way; will they fall at the same rate?

Their positions are the solutions to

10s^{''}=\:10\cdot9.8\:-\:.1s^' with s(0)=0, s^{'}(0)=0 for the lighter capsule

25s^{''} = 25 \cdot 9.8 - .1s^{'} with s(0)=0, s^{'}(0)=0 for the heavier capsule

Solve these initial value problems using MATLAB; discuss your observations.  Include any graphs or other helpful information (screen shots, or the text of what you typed in, or any script M-files) should be attached; it's preferable to have all of this in one document, either a *.doc, *.docx, or *.pdf.


Tutor Answer

(Top Tutor) Studypool Tutor
School: New York University
Studypool has helped 1,244,100 students
flag Report DMCA
Similar Questions
Hot Questions
Related Tags

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors