A $33$ lbm block slides down a smooth inclined surface as shown in the Figure below. The $0\mathrm{.}1-mm$ gap between the block and the surface contains SAE $30$ oil at $60F($dynamics viscosity of SAE $30$ oil at $60F$ is $0\mathrm{.}32N*\frac{s}{m^2}).$ Assume the velocity distribution in the gap is linear, and the area of the block in contact with the oil is $0\mathrm{.}08m^2.$ Show the following

a$.$ Make a free$-$body diagram of the block. $(6$ pts$)$

b$.$ Derive the expression for the velocity of the block $($detailed procedure$).(8$ pts $)$

c$.$ Determine the velocity $V$ of the block. $(6$ pts$)$

d$.$ Determine the friction force $F.(5$ pts$)$

The procedure and results must be $p$