The displacement `x` of a particle in motion is given in terms of time by `x(x-4) =1 -5 cos omegat`

Options

A. the particle executes `SHM`
B. the particle executes oscillatory motion which is not `SHM`
C. the motion of the particle is neither oscillatory nor simple harmonic
D. the particle is not acted upon by a fprce when it is at `x = 4`

Answer

A

Explanation

`(d^(2)(x-2))/(dt^(2)) = (-omega^(2))/(4)(x-2)`
`:.` The particle executes `SHM`