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Physics Ninja: Mastering Rotational Kinematics and Dynamics

Name: Physics Ninja: Mastering Rotational Kinematics and Dynamics
Rating: 4.7 (51 reviews)

Comprehensive course including lectures and problem solving tutorials.

Created byEric Meloche, Ph.D.

Last updated 6/2025

English

What you'll learn

Improve test scores
Students will be able to solve a wide variety of problems dealing with rotational motion

Course content

9 sections • 87 lectures • 8h 7m total length

Introduction1:50

Introduction to Rotational Kinematics2:00
Angular Units - Converting between Radians and Degrees4:00
Angular Position vs Angular Displacement5:06
Angular Motion Coordinate System2:43
Angular Frequency - Omega3:11
Average vs Instantaneous Angular Velocity7:24
Finding the Direction of Omega3:38
RPM's, Hz, and Angular Velocity4:47
Spinning Disk Velocity6:10
Angular Acceleration - Definition of Alpha4:04
Relating Linear to Angular Variables4:20
Kinematic Equation for Motion with Constant Angular Acceleration4:25
Rotational Kinematics - Example 15:42
Rotational Kinematics: Example 24:16
Commom Mistakes - Centripetal vs Tangential Accleration6:18
Bicycle Gears4:22

Introduction to Rotation Dynamics4:10
How to make something rotate?4:17
Moment of Inertia of Solid Objects3:20
Torque Magnitude3:03
Other ways to calculate the torque3:47
Finding the direction of the torque vector using the Right-Hand-Rule2:07
Right Hand Rule2:13
Problems with Pulleys3:16
Example: Find the direction of the torque3:29
Newton's 2nd Law for Rotation5:23
Example: An unwinding cable8:21
Example 2: Falling Mass Problem10:34

Definition of Moment of Inertia4:35
Calculating Moment of Inertia for Point Masses6:13
Moment of Inertia of Solid Objects - Textbook Table3:46
Moment of Inertia of a Disk (Calculus Problem)6:42
Moment of Inertia of a Disk vs a Hoop (or Ring)6:50
Moment of Inertia of a Bar5:30
Moment of Inertia of Bar rotated through an axis located at the end4:23
Parallel Axis Theorem5:27
Example: Parallel Axis Theorem2:45
Moment of Inertia of a Ring - Comparing 2 Methods15:27
Advanced Problem - Part 1: Moment of inertia of disk with off centered hole20:51
In this problem i do a quick review, then show you a trick to help you solve for the moment of inertia of an object with a hole in it. The technique can be applied to any object with a hole in any location.
Part 2: Moment of inertia of object with a hole5:32
Quick Recap3:00

Introduction to Rotational Energy5:33
Kinetic energy of an object rotating around a fixed axis4:02
Example - Revisit Falling Mass Problem8:01
Rotational Work7:05
Example: Work Energy with Rotation11:45
The Simple YoYo Problem11:40
I solve the classic Yo-Yo problem using Newton's 2nd law to find the acceleration and in the second part of the video i use conservation of energy to find the velocity of the Yo-Yo after falling a certain distance.
Rotational Power3:13

Rolling with and without slipping1:05
No slip conditions4:42
Rolling - Combination of Translation and Rotation6:52
Rolling Race to the Bottom1:47
Rolling Races Experiments1:34
Rolling Races - Summary of Experiments3:18
Races Results - Qualitative Explanation5:07
Rolling - Free Body Diagram and Newton's 2nd Law - Part 19:19
Rolling - Free Body Diagram and Newton's 2nd Law - Part 210:23
Understanding the Race Results4:42
Rolling down a hill using energy method10:08
Using Kinematics to find velocity of center of mass3:35

Requirements

Basic physics understanding

Description

This comprehensive course covers everything about rotational kinematics and dynamics. The course combines lectures that summarize the important concepts and tutorials that will guide you and help you develop a problem solving strategy.

Topics include in this class are:

1) Angular Motion

Review angular displacement, angular velocity and acceleration

2) Kinematics Equations for Angular Motion

analyzing motion with constant angular acceleration.

3) Dynamics of Rotational Motion

Review of torque produced by constant forces
Rotational inertial and Newton's 2nd Law applied to rotation problems
Calculating moment of inertia so simple systems and solid objects
Parallel-axis theorem

4) Rotational Energy

Energy and work in rotational motion
Conservation of Energy applied to rolling motion.
Work and Power

5) Angular Momentum

understand the rotational analog of linear momemtum
systems with conservation of angular momentum.
precessional motion

There are over 50 fully solved problems ranging in difficulty. I've mixed in many conceptual problems as well as algebraic problems to help you practice applying Newton's laws to solve problems.

If at any point you don't understand something in my videos please feel free to reach out. I'm always willing to help someone learn. Physics Ninja always has your back!

Happy Learning

Dr. E., Physics Ninja and Expert Physics and Math Teacher.

Who this course is for:

AP physics students
College and university students
Anyone who wants to learn about rotation and how to analyze rotational motion

Physics Ninja: Mastering Rotational Kinematics and Dynamics

What you'll learn

Explore related topics

Course content

Introduction1 lecture • 2min

Rotational Kinematics16 lectures • 1hr 12min

Rotational Dynamics12 lectures • 54min

Mastering the Moment of Inertia13 lectures • 1hr 31min

Rotational Energy7 lectures • 51min

Rolling Without Slipping12 lectures • 1hr 3min

Rolling with Slipping1 lecture • 22min

Rotation Problems: Problem Set 111 lectures • 49min

Rotation Problems: Problem Set 214 lectures • 1hr 23min

Requirements

Description

Who this course is for: