Lecture on Gyroscopic Effect

Introduction

• Series Focus: Gyroscope
• Reason: Special request for a Hindi series.
• Importance: Relevant for competitive exams and engineering exams (e.g., GATE).
• Major Topics: Direction of Gyroscopic Couple.
• Applications: Airplane, Ship, Four-wheeler.

Lecture 1 Overview

Understanding Gyroscopic Couple

• Definition: Effect seen when a force is applied in one direction, but displacement occurs in the perpendicular direction.
• Example:
  • Box on the ground (Resting)
  • Applying force in X direction => Expectation: Movement in X.
  • Gyroscopic Effect => Movement in Y or Z.
  • Torque applied about one axis yields output about a perpendicular axis.

Visualizing the Effect

• System Description:
  • Consider a disk (stationary) aligned along X, Y, Z axes.
  • Apply couple (torque) about a particular axis.
  • Represent using three reference planes.
• Observation: Normal Condition vs. Gyroscopic Effect:
  • Normal: Applied couple and output in same plane (e.g., X-Z plane).
  • Gyroscopic: Applied couple about one axis, but motion occurs about a perpendicular axis.

Detailed Example

Disk Mounted System

• System Setup: Disk mounted on a circular bar with springs.
  • Vertical axis (Y-axis) rotation.
  • Normal Expectation: Point A moves out of the plane, Point B into the plane.
• Gyroscopic Condition:
  • Rotating disk yields unexpected output (movement perpendicular to applied couple).
  • Output couple plane differs from applied couple plane.

Simplified Example

• Rotating Disk:
  • Disk rotating about X-axis.
  • Apply rotation about Y-axis.
  • Expectation: Movement in X-Y plane, but response occurs about Z-axis (upward/downward motion).
  • Conclusion: Applied couple in one axis results in output couple in a perpendicular plane due to gyroscopic effect.

Understanding Gyroscopic Effect

• Summary:
  • Gyroscopic Couple: Input couple yields output perpendicular to the applied couple.
• Next Class: Physics behind the gyroscopic effect.

Conclusion

• Focus: Introduction to gyroscopic couple and its surprising effects in different systems.
• Next Steps: Dive deeper into the physics involved in the next class.

Thank You for the Session!