Displacement in Oscillatory Motion

Displacement of a particle as the change in its position vector. It refers to change with time of any physical property under consideration. For example, in case of rectilinear motion of a steel ball on a surface, the distance from the starting point as a function of time is its position displacement. The choice of origin is a matter of convenience. Consider a block attached to a spring, the other end of which is fixed to a rigid wall as shown in figure below.

It is convenient to measure displacement of the body from its equilibrium position. For an oscillating simple pendulum, the angle from the vertical as a function of time may be regarded as a displacement variable as shown in figure below. The term displacement is not always to be referred in the context of position only.

The displacement can be represented by a 0mathematical function of time. In case of periodic motion, this function is periodic in time. One of the simplest periodic functions is given by

f (t) = A cos ωt

Any periodic function can be expressed as a superposition of sine and cosine functions of different time periods with suitable coefficients.

The previous post is about What is periodic and Oscillatory Motion is ?

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Problems on SHM displacement,velocity and Acceleration 

Energies of Body in Simple Harmonic Motion 

Time Period of Simple pendulum 

Problems on Simple Pendulum with Solutions 

Loaded spring in simple harmonic motion 

Damped Oscillations and Forced Oscillations

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