Engineering Mechanics

(Joyce) #1

(^470) „„„„„ A Textbook of Engineering Mechanics
470


Simple Harmonic


Motion


Contents


  1. Introduction.

  2. Important Terms.

  3. General Conditions of
    Simple Harmonic Motion.

  4. Velocity and Acceleration
    of a Particle Moving with
    Simple Harmonic Motion.

  5. Maximum Velocity and
    Acceleration of a Particle
    Moving with Simple
    Harmonic Motion.


23.1.INTRODUCTION
In the previous chapters, we have discussed the
motion of particles or bodies in a straight line or in
rotation. But in this chapter, we shall discuss the
motion of a particle or point along a circular path and
its effect on one of its diameters.
Consider a particle starting from x and moving
round the circumference of circle in an anti-clockwise
direction, with a constant angular velocity, as shown
in Fig. 23.1. Let P be the position of the particle at
any instant and N be the projection of P on the diameter
Y-Y' of the circle.

23


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