A3.00 kg object rests upon a frictionless, horizontal floor. the object is attached to a horizontal spring (of force constant k = 485 n/m) whose other end is anchored to a nearby wall. the object is pulled until it lies a distance xi = 4.85 cm from its equilibrium position (x = 0). the object is then released and undergoes simple harmonic motion.

The space between two 15-in.-long concentric cylinders is filled with glycerin (viscosity = 8.5 × 10-3 lb·s/ft2). the inner cylinder has a radius of 1 in. and the gap width between cylinders is 0.1 in. determine (a) the torque and (b) the power required to rotate the inner cylinder at 180 rev/min. the outer cylinder is fixed. assume the velocity distribution in the gap to be linear.