Simple Harmonic Motion
6.0 Sign Convention of a Simple Harmonic Motion
6.0 Sign Convention of a Simple Harmonic Motion
General sign convention assumed.
Velocity direction towards right $ \to $ is assumed to positive and towards left $ \leftarrow $ is assumed to be negative.
Displacement of the particle on the right side of the mean position is assumed to positive and on the left side is assumed to be negative.
Case $1$:
As the position of the particle is on the right side of the mean position, therefore displacement is ‘$+ve$’, and the direction of velocity is towards right, therefore velocity is ‘$+ve$’.
Case 2:
As the position of the particle is on the right side of the mean position, therefore displacement is ‘$+ve$’, and the direction of velocity is towards left, therefore velocity is ‘$-ve$’.
Case 3:
As the position of the particle is on the left side of the mean position, therefore displacement is ‘$-ve$’, and the direction of velocity is towards left, therefore velocity is ‘$-ve$’.
Case 4:
As the position of the particle is on the left side of the mean position, therefore displacement is ‘$-ve$’, and the direction of velocity is towards right, therefore velocity is ‘$+ve$’.
