Consider a macroscopic control volume of length L in the x-direction and width W in the z-direction. The control volume extends into a fluid for y. a) The total x-momentum in the control volume can be seen to be LW 0vxdy and the force in the x-direction imposed on the moving plate by the fluid at y=0 is Fx=LWyxy=0 Apply Newton's second law and show that: dtd0vxdy=vyvxy=0 Where v is the kinematic viscosity. The fluid is incompressible and Newtonian. b) We now use our physical understanding of the problem to note that at any given time, t, there is a distance (t), such that vx=0y(t). Show that equation (1) can be rewritten as: dtd0(t)vxdy=vyvxy=0