In this chapter, we introduced a number of general properties of systems. In partic-ular, a system may or may not be (1) Memoryless
(2) Time invariant
(3) Linear
(4) Causal
(5) Stable
Determine which of these properties hold and which do not hold for each of the following continuous-time systems. Justify your answers. In each example, y(t) de-notes the system output and x(t) is the system input

Explain the difference laminar and turbulent flow. explain it with the shear stress and the velocity profiles.

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)

A200-mm wide strip 25 mm thick is fed through a rolling mill w/two powered rolls each of radius = 250 mm. the work thickness is to be reduced to 22 mm in one pass at a roll speed of 60 rev/min. the average flow stress of the work material, as it passes through the rolls is 175 mpa. the friction coefficient between rolls and work material is 0.20. 1, determine a)-if friction is sufficient for rolling. b)- if friction is sufficient: c)- calculate roll force i calculate roll torque. d)- calculate roll power.