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A very large thin plate is centered in a gap of width 0.06 m with different oils of unknown viscosities above and below; one

  

A very large thin plate is centered in a gap of width 0.06 m with different oils of unknown viscosities above and below; one viscosity is twice the other. When the plate is pulled at a velocity of 0.3m/s, the resulting force on one square meter of plate due to the viscous shear on both sides is 29 N. Assuming viscous flow with linear velocity profiles and neglecting all end effects, calculate the viscosities of the oils.

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