|Class 11 Physics Oscillations||Simple Harmonic Motion|
Simple Harmonic Motion (SHM) is a periodic motion the body moves to and fro about its mean position.The restoring force on the oscillating body is directly proportional to its displacement and is always directed towards its mean position.
In the above image we can see that a particle is vibrating to and fro within the limits –A and +A.
The oscillatory motion is said to be SHM if the displacement x of the particle from origin varies with time t:
x (t) = A cos (ωt + Φ)
x (t) : displacement x as a function of time
ωt +Φ = phase angle (time-dependent)
ω= angular frequency
Φ = phase constant
If we plot the graph between displacement versus time we can conclude that the displacement is continuous function of time.
The above graph shows displacement as a continuous function of time.