The relation between acceleration and displacement of four particle are given below, which one of the particle is exempting simple harmonic motion?

The relation between acceleration and displacement of four particle ar

1.	The relation between acceleration and displacement of four particle are given below, which one of the particle is exempting simple harmonic motion?
Answer» `a_(x)= +2x` `a_(x)= +2x^(2)` `a_(x)= -2x^(2)` `a_(x)= -2x` Solution :Necessary condition for SHM is that the ACCELERATION of particle is ALWAYS directed towards the mean position and opposite to displacement. `therefore a propto -x` `therefore a= -KX` In given option D, `k= -2` and displacement MUST be LINEAR.