Please give hand solution, chat gpt solution is useless also i can use chat gpt. I am wait for the true HAND SOLUTION NOT CHAT GPT

A countershaft carrying two V-belt pulleys is shown in the following figure (dimensions in mm). Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent of the tension on the tight side.

Q1) Determine the minimum factor of safety for yielding. Use distortion-energy theory. (30 points) Q2) Determine the minimum factor of safety for fatigue based on infinite life, using the modified Goodman criterion. The shaft rotates at a constant speed, has a constant diameter. Q3) A 30-mm-diameter uniform steel shaft is 800mm long between bearings. (a) Find the lowest critical speed of the shaft. If the goal is to double the critical speed, find the new diameter. A half-size model of the original shaft has what critical speed