E.P. 324.3 Winter 1996 Instructor: Dr. D. Steele Midterm Test #1 February 1, 1996 50 minutes Answer all questions. Calculators may be used. 1. (5) Calculate the maximum capillary rise of water (at 10 C) between two vertical glass plates spaced 0.50 mm apart. 2. (15) A uniform disk of mass M and radius a is suspended so that it can rotate freely about its own axis (with moment of inertia ), with the plane of the disk a distance d from a large parallel plate. The space between the disk and the plate is filled with a liquid of viscosity . Initially the disk is spinning with angular velocity . Find its angular velocity a time t later. Assume that the velocity gradient across the fluid is uniform. 3. (10) The square gate shown is eccentrically pivoted so that it opens automatically at a certain value of h. What is that value in terms of ? 4. (10) Is the block in this figure stable floating in the position shown? Show your calculations. Specific weight of water at 10 C = 9.81 kN/m . Surface tension of water = 0.073 N/m. Contact angle of water on glass = 0 .