Problem $02\mathrm{.}077$ DEPENDENT MULTI$-$PART PROBLEM $-$ ASSIGN ALL PARTS

A thin $30-cm30-cm$ flat plate is pulled at $3\mathrm{.}4\frac{m}{s}$ horizontally through a $3\mathrm{.}6-mm-$thick oil layer sandwiched between two plates, one stationary and the other moving at a constant velocity of $0\mathrm{.}3\frac{m}{s},$ as shown in the figure given below. The dynamic viscosity of the oil is $0\mathrm{.}027Pa.$s$.$ Assume that the velocity in each oil layer varies linearly.

Problem $02\mathrm{.}077.$b $-$ Point where velocity is zero in the velocity profile

Find the location where the oil velocity is zero.

The location where the oil velocity is zero is $mm$ from the lower plate.