An extension of G. I. Taylor’s [G.I.Taylor:ScientificPapers,edited by G. K. Batchelor (Cambridge U.P., Cambridge, 1960), Vol. 4, p. 410] scraper problem (i.e., the displacement of a viscous fluid on a flat solid surface by a flat solid scraper) is investigated. Consider an infinite strip of viscous fluid of uniform width and height on a horizontal surface with a scraper that spans the full width. If the speed of the scraperUis given, what should the scraper’s orientation be to the strip to minimize the component of force in the direction of motion that must be applied to the scraper?