Two$-$stage gearbox. Given specification : Input torque $($Nm$)=50,$ Output torque $($Nm$)=100,$ First Stage $($ Gear $)=$ Helical Second Stage $($ Gear $)=$ Helical, Input speed $($rpm$)=500,$ Gear Material $=16$ MnCr $5$ Q$\mathrm{.}1)$ Make the following calculations according to the above data. a$.$Calculate the external forces and the forces on the bearings. b$.$ Analyze the selected shafts. c$.$ Make the calculations of the selected bearings.Exam task: to perform the following calculations according to the scheme above:

To define the stresses that are acting directly under the footing $(10$ p$)$

To define the vertical stresses ${}_{zg}$ caused by soils selfweight at point $A(20p)$

To define the vertical stresses ${}_{zp}$ caused by foundation preassure at point A $(20$ p$)$