(^622) „„„„„ A Textbook of Engineering Mechanics
622

Kinetics of

Motion of Rotation 31

CHAPTERCHAPTERCHAPTERCHAPTERCHAPTER

Contents

1. Introduction.


2. Torque.


3. Work done by a Torque.


4. Angular Momentum.


5. Newton’s Laws of Motion of
   Rotation.


6. Mass Moment of Inertia.


7. Mass Moment of Inertia of a
   Uniform Thin Rod about the
   Middle Axis Perpendicular to
   the Length.


8. Moment of Inertia of a
   Uniform Thin Rod about One
   of the Ends Perpendicular to
   the Length.


9. Moment of Inertia of a Thin
   Circular Ring.


10. Moment of Inertia of a
    Circular Lamina.


11. Mass Moment of Inertia of a
    Solid Sphere.


12. Units of Mass Moment of
    Inertia.


13. Radius of Gyration.


14. Kinetic Energy of Rotation.


15. Torque and Angular
    Acceleration.


16. Relation Between Kinetics of
    Linear Motion and Kinetics of
    Motion of Rotation.


17. Flywheel.


18. Motion of a Body Tied to a
    String and Passing Over a
    Pulley.


19. Motion of Two Bodies
    Connected by a String and
    Passing Over a Pulley.


20. Motion of a Body Rolling on
    a Rough Horizontal Plane
    without Slipping.


21. Motion of a Body Rolling
    Down a Rough Inclined
    Plane without Slipping.

31.1.INTRODUCTION

We have already discussed in chapter 21 the

kinematics of motion of rotation and its applications.

In this chapter, we had discussed the geometry of

motion without taking into consideration the forces

causing motion of rotation. But in this chapter, we

shall also discuss the forces, which influence the

motion of rotation.

31.2.TORQUE

It is the turning moment of a force on the

body on which it acts. The torque is equal to the

product of the force and the perpendicular distance

from any point O to the line of action of the force.

Mathematically, torque,

T = F × l