By assuming x – 2 = X, we have F = – 2X

Since, F *∝* – X

The motion of the particle is simple harmonic

(b) The mean position of the particle is X = 0 or x – 2 = 0, which gives x = 2 m

(c) Maximum kinetic energy of the particle is,

K_{max} = E – U_{min} = 36 – 20 = 16 J.

**Note : **U_{min} is 20 J at mean position or at x = 2 m.