Consider a uniform disc in the x-y plane free to rotate about an axis parallel to the Z-axis as shown (passing through the centre). A force of 4N applied at $\left(4,3\right)$ along y-axis, as shown produces an angular acceleration of $2 {\mathrm{s}}^{-2}$ . Locate the centre of mass of the disc if the mass of the disc is 2 kg.