A simply supported beam ( 1 E 5 2 GPa) carries a uniformly distributed load q 5 125 N/m, and a point load P 5 200 N at mid-span. The beam has a rectangular cross section (b 5 75 mm, h 5 200 mm) and a length of 3.6 m. Calculate the maximum deflection of the beam.

Asolid cylinder is concentric with a straight pipe. the cylinder is 0.5 m long and has an outside diameter of 8 cm. the pipe has an inside diameter of 8.5 cm. the annulus between the cylinder ad the pipe contains stationary oil. the oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?