Physics 8: 4-6 Rotational Dynamics
Text Reading: Giancoli, Physics - Principles with Applications, Chapter 8: 4-6
- 8.4: Torque (symbol Greek letter tau: τ) is force acting on an object along some line other than one passing through the center of mass, causing the mass to spin. We calculate torque as the cross product F̅ x r̅ of the radius vector (displacement from the radius) and the force vector. The magnitude of the torque vector is τ = rF*sin θ. The direction of the torque is given by the right hand rule. Notice that if r = 0 (the force passes through the center of mass), τ = 0, the object does not spin, and all motion is translational.
- 8.5: Since we have a force, we have to have a relationship between force, mass, and acceleration resulting in a law of rotational inertia. The problem is that not all parts of a spinning object have the same distance r̅ from the center of rotation. However, we can sum up the inertal "moments" of individual mass bits and determine a moment of inertia for the rotating object, similar to the center of mass for translational motion. For known shapes and their moments, we can calculate the torque, inertia, acceleration, and other characteristics as if the spread-out inertial pieces were concentrated at one point.
- 8.6: Once we understand that we need to use the moment of inertia I as a kind of mass-at-position substitute, we can calculate torque = inertia * acceleration, τ = Iα, using known moments.
(from chapter 2)
|F = ma
||τ = Iα
Read the following weblecture before chat: Inertia, Acceleration, and Force
Use the physics simulation ==>HERE<==
to experiment with objects rolling and sliding down an inclined plane.
Chat Preparation Activities
- Forum question: The Moodle forum for the session will assign a specific study question for you to prepare for chat. You need to read this question and post your answer before chat starts for this session.
- Mastery Exercise: The Moodle Mastery exercise for the chapter will contain sections related to our chat topic. Try to complete these before the chat starts, so that you can ask questions.
- The chapter quiz is not yet due.
If you want lab credit for this course, you must complete at least 12 labs (honors course) or 18 labs (AP students). One or more lab exercises are posted for each chapter as part of the homework assignment. We will be reviewing lab work at regular intervals, so do not get behind!
© 2005 - 2019 This course is offered through Scholars Online, a non-profit organization supporting classical Christian education through online courses. Permission to copy course content (lessons and labs) for personal study is granted to students currently or formerly enrolled in the course through Scholars Online. Reproduction for any other purpose, without the express written consent of the author, is prohibited.