Example A rubber pad for a machine mounting is to carry a load of $5$ kN and to compress $5$ mm under this load. If the stress in the rubber is not to exceed $\backslash (280\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}^\{2\}\backslash ),$ determine the diameter and thickness of a pad of circular cross$-$section. Take E for rubber as I MN$/$m$.$