```
Success in the portion of our class covering an Introduction to
Rotation for a rigid system of particles is determined by your
being able to accomplish the tasks listed below.  The major
objectives are listed by number.  The list under each major
objective includes both subtopics of that objective (usually
topics which are required for a complete understanding of that
major objective) and also the multiple representations of the
task in which you are expected to be proficient.

1. Rotational Kinematics
Apply the definitions of angular velocity and angular
acceleration to rotational motion about a fixed axis
Differential and integral forms of the definitions.
Algebraic definitions of angular displacement, average
angular velocity, average angular speed (spin rate),
and average angular acceleration, all for rotational
Graphs of angular position, angular velocity, and angular
acceleration versus time.
Equations of angular position, angular velocity, and angular
acceleration versus time.
Quantitative calculations for:
Any fixed-axis rotational motion with constant angular
acceleration.
Any fixed-axis rotational motion given either angular
position, angular velocity, or angular acceleration
versus time.

2. Rotational Dynamics - Force and Torque perspective
Definition of rotational inertia for a given system of
particles and a given axis
Understand and apply the Parallel Axis Theorem
Definition of torque for a selected force and a selected
axis.
Extended free-body diagrams
Understand and apply Newton's Second Law for a system of
particles (translation)
Statics (sum of external forces equal zero and sum
of torques equal zero about any and all axes)
Understand and apply the rotational analog of Newton's
Second Law for a rigid system of particles:
For pure rotational motion about a fixed axis
For translation of center of mass plus rotation

3. Rotational Dynamics - Energy Perspective
Work done by a torque over an angular displacement
Instantaneous power of a torque applied to a rotating
rigid system of particles
Kinetic energy of a system of particles in pure rotation
Kinetic energy of a system of particles with a translating
center of mass and also rotating about the center of mass
Conservation of Energy applied to systems of particles with
rotational motion involved

4. Rolling without slipping, and also rotating and slipping
As an example of applying Newton's Second Law for a system
of particles, as well as the rotational analog of Newton's
Second Law for a rigid system of particles
As an example of applying the Conservation of Energy to a
system of particles with rotational motion involved

```