3) Consider liquid in between two parallel plates with the distance of h = 2 mm as shown in the figure. The plates have a surface area of 0.5 m². The bottom plate is fixed. U h fixed Calculate the force F required to move the upper plate in the x-direction with a constant velocity of U = 0.12m/s if; a. The liquid is Newtonian with a viscosity of µ = 0.025 N.s/m²; b. The liquid is a Bingham liquid with yield stress of Tyield=10 N/m², and µ = 0.015 N.s/m². 4) A typical mud is 70% wt. sand and 30 % wt. water. Assuming psand = 2643 kg/m³ and pwater = 998 kg/m³, calculate the density of the mud. (Note. in a mixture of m₁+m2, a mass fraction of 10% wt. for m₁ means that m1 m1+m2 = 0.1)