$(7$ pts$.)$ An infinite plate is moved over a second plate on a layer of liquid as shown. For

small gap width, $d,$ we assume a linear velocity distribution in the liquid. The liquid dynamic

viscosity is $6\mathrm{.}5{10}^{-4}N.\frac{s}{m^2}$ and its specific gravity is $0\mathrm{.}88.$ Determine:

a$)(3$ pt$.)$ The density $(k\frac{g}{m^3}),$ specific weight $(k\frac{N}{m^3}),$ and kinematic viscosity of the

liquid $(\frac{m^2}{s}).$

b$)(2$ pt$.)$ The shear stress on the upper plate, in $\frac{N}{m^2}$ and state the direction of the shear.

c$)(2$ pt$.)$ The shear stress on the lower plate, in Pa and state the direction of the shear.

Take the density of water to be $1000k\frac{g}{m^3}.$