A particle is executing simple harmonic motion. What is phase relationship between:
(i) displacement and velocity
(ii) velocity and acceleration?
The acceleration of particle executing simple harmonic motion, a = – ω2y
We know that the acceleration is second derivative of displacement.
Therefore,
The above equation represent the differential equation of simple harmonic motion.
Let the particle be vibrating between points L and M. In one complete vibration the particle moves from O to L, then from L to O and then from O to M and finally from M to O as shown in figure. Therefore the total distance travelled by particle in one complete oscillation is
As the particle comes back to same position after one complete oscillation, therefore the net displacement of particle is zero.