A crate, with weight W = 155 lb and mass center G, is placed on a slide and released from...

A crate, with weight W = 155 lb and mass center G, is placed on a slide and released from rest as shown. The lower part of the slide is circular with radius R = 6 ft. Model the crate as a uniform body with b = 3.6 ft and h = 2 ft, take into account the gap between the crate and the slide when the crate is in its lowest position, and assume that when the crate is in its lowest position on the slide, the crate’s center of mass is moving to the left with a speed υG = 12 ft/s. Determine the work done by friction on the crate as the crate moves from the release point to the lowest point on the slide.

Figure P8.30