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### Rotational Dynamics

In this module, we will examine Torque and Moment of Inertia (the rotational analogs of force and mass) and Newton's Second Law for Rotation. Torque and Rotational Inertia are more complicated than their linear brethren in that their values depend upon the axis of rotation about which they are computed. The torque applied to an object by a force depends not only upon the force, but the point of application through the math of vector cross products. The moment of inertia of an object is different for different axis of rotation even though the object's mass is the same. Furthermore an object can change it's moment of inertia by changing how its mass is distributed (like when a skater spreads out their arms) without changing their mass.

### Instructional Material

- Printable Outline Notes on Torque - Pdf
- Definition of Torque Part 1 - Video
- Definition of Torque Part 2 - Video
- Printable Outline Notes of Moment of Inertia - Pdf
- Definition of Moment of Inertia - Video
- Moment of Inertia for Particles - Video
- Moment of Inertia for Certain Uniform Objects & Parallel Axis Theorem - Video
- Printable Outline Notes for Newton's 2nd Law for Rotation - Pdf
- Newton's 2nd Law for Rotation Part 1 - Video
- Newton's 2nd Law for Rotation Part 2 - Video

### Example Problems

- Attwood Machine Problem - Pdf
- Attwood Machine Part 1 - Video
- Attwood Machine Part 2 - Video
- Newton II Problem For Pulley With Mass - Pdf
- Newton II Problem For Pulley With Mass - Video
- Hoop YoYo Problem - Pdf
- Hoop YoYo Problem - Video
- Module Learning Objectives
- Return To Class Home Page

### Physics Website Links

- 1. Khan Academy Rotation
- 2. MIT Rotational Motion
- 3. Mechanical Universe "Torque"
- 4. Ginacoli Textbook Website

### Tarleton Physics Links

Click on on one of the graphic icons and explore our website further to see what makes physics at Tarleton unique!!

### Unique Facilities

One of the best equipped undergraduate programs in the US!!

- 32" Telescope
- Tandem Accelerator
- Electron Microscope
- X-ray Diffraction System
- Leybold CT System
- Ultrasound
- Laser Facility

### Unique Tracks

Specialty tracks to match your career needs:

- Astronomy
- Medical Physics - Pre-Med, Pre-Dental, Pre-Pharmacy, etc.
- High School Teaching - Math/Physics or Physics/Chemistry
- Nuclear Engineering/Nuclear Physics (Tarleton-Texas A&M Partnership)
- Classical Track - Get a Second Degree in Math, Computer Science, Chemistry, Business, etc. or Prepare for Law School

### Research Links

We offer our students courses not generally found at smaller institutions like:

- Astrophysics
- Computational Physics
- Medical Physics I & II
- Microwave Theory
- Nuclear Physics
- Solid State Physics
- Principles of Nuclear Engineering
- Nuclear Reactor Theory
- Graduate Quantum Mechanics
- Graduate Mechanics