A crate slides along a horizontal frictionless surface at a constant speed of4.0 m s − 1. The crate then slides down a frictionless incline and across a second frictionless horizontal surface. What is the crate's speed at the bottom of the ramp?

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.