Fluids of viscosities $\mu_1 = 0.15 \text{ N} \cdot \text{s/} \text{m}^2$, $\mu_2 = 0.5 \text{ N} \cdot \text{s/} \text{m}^2$, and $\mu_3 = 0.2 \text{ N} \cdot \text{s/} \text{m}^2$ are contained between two plates (each plate is $1 \text{ m}^2$ in area). The thicknesses are $h_1 = 0.5 \text{ mm}$, $h_2 = 0.25 \text{ mm}$, and $h_3 = 0.2 \text{ mm}$, respectively. Find the steady speed V of the upper plate and the velocities at the two interfaces due to a force $F = 100 \text{ N}$. Plot the velocity distribution.
