This problem is likely the most difficult problem of the exam. Give yourself time to consider thoughtfully, Wheels falling off moving vehicles are rare but documented and dangerous occurences.
The wheel continues to roll, reeking havoc in its path. Assume a 45 kg wheel with radius of 30 cm fell off a truck on top of a 6-m tall hill. The truck was already traveling at 20 m/s when it lost the wheel. Assume the moment of inertia of the wheel is 1 - MR. Determine the linear speed of the wheel when it reaches the bottom of the hill. m/s
Hints:
1) There are linear and rotational Ke terms both before and after rolling down the hill.
2) Use the linear equivalent of angular velocity to simplify rotational terms.
3) Don't plug in numbers until the very end of your work.

The bubba chump shrimp company processes and packages shrimp for sale to wholesale seafood distributors. the shrimp are transported to the main plant by trucks that carry 1,000 pounds (lb) of shrimp. once the continuous flow processing of the shrimp begins, no inventory is allowed in buffers due to spoilage and all of the shrimp must be processed within 12 hours to prevent spoilage. the processing begins at the sorter, where the trucks dump the shrimp onto a conveyor belt that feeds into the sorter, which can sort up to 500 lb per hour. the shrimp then proceed to the desheller, which can process shrimp at the rate of 400 lb per hour. however, after 3 hours and 45 minutes of processing, the desheller must be stopped for 15 minutes to clean out empty shrimp shells that have accumulated. the veins of the shrimp are then removed in the deveining area at a maximum rate of 360 lb per hour. the shrimp proceed to the washing area, where they are processed at 750 lb per hour. finally, the shrimp are packaged and frozen. what is the daily process capacity of the processing plant (excluding the packaging and freezing)?