(Solved): please write neatly if possible! 5. The Newtonian fluid is confined between a plate and a fixed surf ...

5. The Newtonian fluid is confined between a plate and a fixed surface. If its velocity profile is defined by \( u=\left(8 y-0.3 y^{2}\right) \mathrm{mm} / \mathrm{s} \), where \( y \) is in \( \mathrm{mm} \). Determine the following: a. Shear stress that the fluid exerts on the plate and on the fixed surface. b. Force \( \mathbf{P} \) that must be applied to the plate to cause the specified motion of the fluid. 1 The plate has a surface area of \( 15 \times 10^{3} \mathrm{~mm}^{2} \). Take \( \mu=0.482 \mathrm{~N} . \mathrm{s} / \mathrm{m}^{2} \). [1-33,1-34]