This is a Web assignment on the relationship between the moment-of-inertia of a simulated Atwood machine with a twist -- the two masses are connected to concentric pulleys with different radii. The assignment uses an embedded Java applet written by Angel Franco Garcia.
Type of Material:
Assignment.
Recommended Uses:
This will be best used as a homework assignment or self-study designed to check one's understanding of Newton's Laws for rotational motion. It should not be used as an introduction to the material, but as an excercise after learning the basics in other ways.
Technical Requirements:
Java enabled browser.
Identify Major Learning Goals:
The assignment will enable students to utilize the applet to make quantitative and qualitative predictions regarding torques and their effects on a rotating body. Successful completion will require the student to integrate their knowledge of torques and relate it to angular acceleration and the experimentally determined value of moment of intertia of an object.
Target Student Population:
High School or introductory college/university level physics. Calculus is not required for the solution, but the problem is not easy.
Prerequisite Knowledge or Skills:
A basic understanding of Newton's Laws for rotations, how to calculate torques and the relationship of angular to linear acceleration and how all these concepts relate to each other.
Content Quality
Rating:
Strengths:
The assignment is clear and to the point. It utilizes an applet resource that gets the physics right. This substantial assignment will definitely benefit any student who is able to complete it. Both qualitative and quantitative questions are provided.
Concerns:
The outer radius of the double pulley is not given, though it can be guessed from the condition on the inner radius. The answer that is provided has no units specified; in fact the answer is in kg-m2, whereas the given or measured quantities are in cm and g. Although this is a problem with the applet, the assignment should clearly warn students.
Potential Effectiveness as a Teaching Tool
Rating:
Strengths:
Viewing the applet can clearly show students that the accelerations of the two masses are different when the radii are different. The requirement to determine the acceleration using the distance and time measurement is a nice touch. The assignment can serve as an excellent check on a student's understanding of the relevant physics for a typical rotational dynamic situation that is not a simple single step plug-in type problem.
Concerns:
The first question, which is qualitative, could be improved by also asking the students to observe the more usual case of equal radii, where the accelerations are the same. The second question, which is also qualitative, would be a more effective learning tool if some additional description were added to help guide students to the key features, rather than just being a test of whether they understand or not. The use of the phrase "In general" is not very informative.
Students need to be told what the units of the answer are.
Ease of Use for Both Students and Faculty
Rating:
Strengths:
The assignment is reasonably well written and ties in appropriately with the applet that it uses. The instructions are clear and use the applet resource in a sound way.
Concerns:
The applet comes from a Spanish site and the controls are in Spanish. While the most important controls are translated in the instructions for the user. It would be helpful if the other control buttons were translated for the user. (Perhaps a glossary should be provided.)
In particular, the radius edit box needs to be translated for the student, as it figures prominately in the assignment.
Creative Commons:
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