Rotational Analogs

Objectives

After studying the material of this chapter, you should be able to:
1. Convert angular quantities from revolutions or degrees to radians and vice versa.
2. Write the Greek symbols used to represent angular displacement, angular velocity, and angular acceleration.
3. State the meaning of the symbols used in the kinematics equations for uniformly accelerated angular motion.
4. Write from memory the equations used to describe uniformly accelerated angular motion.
5. Complete a data table using information both given and implied in word problems. Use the completed data table to solve word problems related to angular kinematics.
6. Distinguish between inertia and moment of inertia. Write from memory the formulas for the moment of inertia of selected objects and calculate the moment of inertia of these objects.
7. Explain the meaning of the radius of gyration. Use the radius of gyration to solve for an object's moment of inertia.
8. Distinguish between linear momentum and angular momentum. State and apply the law of conservation of angular momentum to solve word problems.
9. Calculate the lever arm distance and determine the magnitude and direction of the torque vector if the magnitude and direction of the net force are given.
10. Draw a free body diagram for each object in a system. Locate the forces acting on each object. Use F = ma and τ = Iα to solve for the linear or angular acceleration of each object.
11. Apply the law of conservation of angular momentum to a system where no net external torque acts. Determine the change in angular velocity of a system where the moment of inertia of the objects that make up the system changes.
12. Distinguish between translational kinetic energy and rotational kinetic energy. Apply the Law of Conservation of Energy to solve problems that involve rotational as well as translational kinetic energy.