Course Outline

Unit 1: Introduction

This unit establishes the foundations of rigid body mechanics by introducing rotational motion and comparing it with translational motion. Students will review core concepts from Newtonian mechanics and learn how rigid body models are used to analyze real-world systems. They will explore examples of rotational motion in everyday life, engineering, and technology.

Topics:

• What Is a Rigid Body?
• Translational vs Rotational Motion
• Reference Frames and Coordinate Systems
• Review of Newtonian Mechanics
• Applications of Rigid Body Mechanics

Unit 2: Rotational Kinematics

In this unit, students learn how to describe rotational motion mathematically. They will investigate angular displacement, angular velocity, angular acceleration, and rotational motion equations. By connecting angular and linear quantities, students will develop a deeper understanding of how rotating objects move.

Topics:

• Angular Displacement
• Angular Velocity
• Angular Acceleration
• Rotational Motion Equations
• Linear and Angular Relationships

Unit 3: Rotational Dynamics and Torque

This unit explores the causes of rotational motion. Students will investigate torque, rotational equilibrium, moment of inertia, and Newton's Second Law for rotation. They will analyze how forces influence rotating systems and apply these concepts to practical examples involving levers, wheels, gears, and machinery.

Topics:

• Torque
• Rotational Equilibrium
• Moment of Inertia
• Newton's Second Law for Rotation
• Applications of Rotational Dynamics

Unit 4: Angular Momentum and Energy

In this unit, students examine the conservation principles that govern rotational systems. They will study angular momentum, rotational kinetic energy, work, and power while learning how energy and momentum are transferred and conserved in rotating objects. These concepts help explain many natural and technological phenomena.

Topics:

• Angular Momentum
• Conservation of Angular Momentum
• Rotational Kinetic Energy
• Work and Power in Rotational Systems
• Energy Conservation in Rotating Systems

Unit 5: Combined Translational and Rotational Motion

The final unit brings together all course concepts by examining systems that rotate and translate simultaneously. Students will analyze rolling motion, gyroscopic effects, machinery, and transportation systems. They will apply rigid body mechanics to solve complex problems and investigate advanced real-world applications.

Topics:

• Rolling Motion
• Inclined Planes and Rolling Objects
• Gyroscopes and Rotational Stability
• Rotating Machinery and Vehicles
• Advanced Applications of Rigid Body Mechanics

Final Challenge

Apply the principles of rigid body mechanics to analyze a real-world rotating system. Students will investigate how rotational motion, torque, energy, and angular momentum interact in applications such as vehicles, bicycles, turbines, robotics, sports equipment, satellites, or engineering structures. Through quantitative analysis and problem solving, students will demonstrate a comprehensive understanding of rotational mechanics and its importance in the modern world.