A very large thin plate is centered in a gap of width \(0.06 \mathrm{~m}\) with different oils of unknown viscosities above and below; one viscosity is twice the other. When the plate is pulled at a velocity of \(0.3 \mathrm{~m} / \mathrm{s}\), the resulting force on one square meter of plate due to the viscous shear on both sides is \(29 \mathrm{~N}\). Assuming viscous flow and neglecting all end effects, calculate the viscosities of the oils.