A. Provide a schematic to explain direct shear test. b. Present an example of shear strength applied in geotechnical engineering design (must include the schematic and explanation)
c. Following are the results of three drained direct shear tests conducted on clay. Graphically and analytically, determine the drained angle of friction and cohesion for the clayey soil.

Normally Stress(kpa) Shear Stress(kPa)

100 51
150 67
200 85

Explain the difference laminar and turbulent flow. explain it with the shear stress and the velocity profiles.

If a particle moves along a path such that r : (3 sin t) m and ? : 2t rad, where t is in seconds. what is the particle's acceleration in m/s in 4 seconds? a)- 16.43 b)- 16.29 c)- 15.21 d)- 13.79

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.