(Solved): An epicyclic gear set is as shown below, with the carrier arm as the input and the sun gear as the ...

An epicyclic gear set is as shown below, with the carrier arm as the input and the sun gear as the output, and two planetary gears. The table for calculating the gear velocity ratios for the set is also included (noting that the sun gear has 43 teeth, each planetary gear has 24 teeth, and the annulus gear has 80 teeth). Mass moments of inertia of each rotating body are also included, with the value given for $\mathrm{P}$ being for one planetary gear, and the value for $\mathrm{C}$ including the shafts on which the planetary gears rotate. Each planetary has mass $0.675\mathrm{kg}$, and the carrier arm offsets the planetary gears' axes of rotation by $95.0\mathrm{mm}$ from the central axis of the gearbox. If the planetary gears do not change their orientation as the gears rotate, calculate the equivalent mass moment of inertia of the gear train as seen from the carrier arm, in $\mathrm{kg}?{\mathrm{m}}^2$ to four decimal places.