From the K­map below, what is the minimum Boolean function F?

CD

AB

00

01

11

10

00

X

1

X

1

01

1

0

0

0

11

0

0

1

X

10

0

0

0

0

Fill in the blank in sum-of-products form such as A'BC+CD, product terms can be placed in any order, i. e., A'BC+CD and CD+A'BC are both correct; however, literals in a product term must be in alphabetical order, i. e., enter A'BC and NOT any of the following: A'CB, BA'C, BCA', CA'B or CBA'.

F =

Amixture of slurry and mud is to be pumped through a horizontal pipe of diameter 500 mm. the fluid behaves as a bingham plastic with a yield stress of 30 pa and viscosity 0.04 pa.s. describe the effects of the shear stress through a transverse section of the pipe by plotting the variation in shear stress and velocity profile: (i) just before the slurry starts to move (ii) as the slurry flows when the pressure gradient is double that in part (i)