Glycerine (specific weight 1260 kg/m³, dynamic viscosity 8.00 x 10-2 kg-s/m²) is spread freely to a thickness of 1 mm between a bottom stationary plate and a top movable plate of 10 cm² area. The top plate is to be moved at a uniform speed of 1 m/s. The force to be exerted on the top plate is:

The 40 ft. long steel rails on the train track are placed such that there is small gap, 8, between them to allow for thermal expansion. A 100 Ib/yard a rail has a cross-sectional area of 9.80 in?. The steel used has the following material properties: E = 29,000 ksi 6.6 HE/ F (a) What is the size of gap, 8, required so that the rails just touch one another when the temperature increases from -20°F to 100°F. (b) Given the gap you found in (a), what would the axial force in the rails be if the temperature rises to 130°F.

Question 4: A machine of 540 kg is bolted at the middle of two parallel simply supported steel beams. The clear span of the beam is 2.4 m. The moment of inertia of the cross-section of each beam is I = 4.2×10¯6 mª. The Young's modulus of the steel is E 200 GPa. When the machine is operating, it will generate a vertical force P(t)=Posinot. When the machine runs at 300 rpm, Po= 1500 N. Neglect the weight of the beams and assume 2% viscous damping in the system. Determine the amplitude of steady-state deflection of the beams at their midpoint when the machine runs at 300 rpm. machine 1.2 m = 1.2 m Steel beams

1) The buoyant force acting on the plate is equal to     a the mass of the plate times distance of the plate from the free surface b the weight of the plate c the weight of the liquid displaced by the plate 2) The hydrostatic force acting on a circular surface always passes through the center of the circle. True or False 3) Which of the following situation is UNSTABLE? a,b,c?