Problem 2. A 40 cm x 40 cm thin flat plate is pulled at 2 m/s horizontally through an oil layer sandwiched between two plates. The top plate is stationary, and the bottom plate is moving at a constant velocity of 0.5 m/s. Dimensions are included in the figure below. The dynamic viscosity of oil is 0.027 N-s/m². Assume the velocity in each oil layer will vary linearly. (a) Plot the velocity profile and find the location where the oil velocity is zero. (b) Determine the force that needs to be applied on the center plate to maintain 2 m/s of velocity. h₁ = 1 mm h₂ = 2.6 mm V₂ = 0.5 m/s Fixed Wall Moving Wall v₁ = 2 m/s F

Fig: 1