Alarge horizontal circular platform (m=87.1 kg, r=3.09 m) rotates about a frictionless vertical axle. a student (m=96.3 kg) walks slowly from the rim of the platform toward the center. the angular velocity ï of the system is 2.50 rad/s when the student is at the rim. a) find ï (in rad/s) when the student is 1.75 m from the center. b) find the moment of inertia of platform through the center with respect to the z-axis. c) find the moment of inertia of the student about the center axis (while standing at the rim) of the platform. d) find the moment of inertia of the student about the center axis while the student is standing 1.75 m from the center of the platform.

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)?