A planetary gear-reduction unit that utilizes seven-pitch spur gears is cut on the 20◦ full-depth system. All parts are steel with a density 0.282 lb/in3. The arm is rectangular and is 4 in wide by 14 in long with a 4-in-diameter central hub and two 3-in-diameter planetary hubs.

The segment separating the planet gears is a 0.5-in-by-4-in-diameter cylinder. The inertia of the gears can be obtained by treating them as cylinders equal in diameter to their respective pitch circles. The input to the reducer is driven with 25 hp at 600 rev/min. The mass moment of inertia of the resisting load is 5.83 in · lb ·s2.

Calculate the bearing reactions on the input, output, and planetary shafts. As a designer, what forces would you use in designing the mounting bolts? Why?