You have been tasked with designing a rotary table for the bottled beverage of

your choice. This table must receive empty bottles and include stations for filling the bottle,

capping the bottle, and labelling the bottle. Then the completed bottles are ejected from the

table. The table must be powered by a stepper motor through a belt and pulley system, all

located on the underside of the table. The transfer time between stations must be $2$ seconds.

a$.(10$ points$)$ Make a neat, hand$-$drawn sketch of your system, labeling the major

components and where the various stations are located.

b$.(9$ points$)$ Estimate the total mass moment of inertia of the rotating system, including

the bottles.

c$.(5$ points$)$ Estimate the maximum angular acceleration of the table.

d$.(3$ points$)$ Estimate the friction forces in the system.

e$.(6$ points$)$ Calculate the maximum load torque that the motor must drive.

f$.(3$ points$)$ Calculate the maximum speed that the motor must spin at$.$