The Newtonian fluid is confined between the plate and a fixed surface. If its velocity profile is defined by u = (8y  0.3y 2 ) mm/s, where y is in mm, determine the force P that must be applied to the...

The Newtonian fluid is confined between the plate and a fixed surface. If its velocity profile is defined by u = (8y
 0.3y²) mm/s, where y is in mm, determine the force P that must be applied to the plate to cause this motion. The plate has a surface area of 15(10³) mm²
in contact with the fluid. Take
 = 0.482 N
 s/m².