(^572) „„„„„ A Textbook of Engineering Mechanics
572572

Motion Along a

Circular Path^28

CHAPTERCHAPTERCHAPTERCHAPTERCHAPTER

Contents

1. Introduction.


2. Centripetal Acceleration.


3. Centripetal Force.


4. Centrifugal Force.


5. Centrifugal Force Acting on a
   Body Moving Along a Circular
   Path.


6. Superelevation.


7. Effect of Superelevation in
   Roadways.


8. Effect of Superelevation in
   Railways.


9. Equilibrium Speed for
   Superelevation.


10. Reactions of a Vehicle
    Moving along a Level Circular
    Path.


11. Equilibrium of a Vehicle
    Moving along a Level Circular
    Path.


12. Maximum velocity to Avoid
    Overturning of a Vehicle
    Moving along a Level Circular
    Path.


13. Maximum Velocity to Avoid
    Skidding Away of a Vehicle
    Moving along a Level Circular
    Path.

28.1. INTRODUCTION

We see that whenever a person, drives round a

curve or a circular track on a bicycle or a motor cycle

or a scootor, he has to lean inward in order to maintain

a perfect equilibrium.

As a matter of fact, the angle at which the man

leans with the vertical, is more, if he is running at a

faster speed than that when he is running at a lower

speed. This type of motion is called motion along a

circular path.

28.2. CENTRIPETAL ACCELERATION

Consider a particle moving along the circum-

ference of a circle with O as centre as shown in

Fig. 28.1 (a)