Engineering Mechanics

(Joyce) #1

Chapter 27 : Collision of Elastic Bodies „„„„„ 553


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Contents


  1. Introduction.

  2. Phenomenon of Collision.

  3. Law of Conservation of
    Momentum.

  4. Newton’s law of Collision of
    Elastic Bodies.

  5. Coefficient of Restitution.

  6. Types of Collisions.

  7. Direct Collision of Two Bodies.

  8. Loss of Kinetic Energy During
    Collision.

  9. Indirect Impact of Two Bodies.

  10. Direct Impact of a Body with
    a Fixed Plane.

  11. Indirect Impact of a Body
    with a Fixed Plane.


Collision of


27 Elastic Bodies


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27.1. INTRODUCTION
We daily see children playing with balls of
glass, rubber and other elastic materials. If we see
them carefully, we will find that if a glass ball is
allowed to fall on a marble floor, from a certain height,
it rebounds (i.e. rises up, after striking the floor) to a
certain height. This height is, generally, less than the
height from which the ball is allowed to fall. If the
same ball is allowed to fall on a wooden floor, then it
will rebound to a lesser height. We will also see that
if the balls of different materials are allowed to fall
on a marble floor, they will rebound to different
heights.
This property of bodies, by virtue of which,
they rebound, after impact, is called elasticity. It may
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