Lecture 20: Rotational kinematics and energetics

Objectives: In this lecture, students will learn to

• extend kinematics to rotational quantities
• relate angular velocity and acceleration to linear velocity and acceleration
• interpret the meaning of the quantity moment of inertia
• calculate moments of inertia using the parallel axis theorem
• define rotational kinetic energy
• explain rolling without slipping in terms of rotation about center of mass plus translation of center of mass
• apply energy conservation to problems involving rotation

Lecture Notes:

• Powerpoint: lec20.pptx
• Pdf (recommended for printing): lec20.pdf

Videos:

Angular kinematics quantities	Video 1	with captions
Relationship to linear quantities	Video 2	with captions
Rolling without slipping	Video 3	with captions
Rotational kinetic energy and moment of inertia	Video 4	with captions
Demo and example 1: Race of hoop and disk	Video 5	with captions
Example 2: coupled objects	Video 6

Additional Example Problem:

Example 3

Video.mp4

with captions

Homework assignment: HW #20