$3.$ A double threaded square thread power screw having a $30$ mm outer diameter and a $4$ mmpitch is acted upon by an axial load P$.$ The diameter of the collar is $35$ mm$.$ The coefficientfriction at the threads is $0\mathrm{.}2$ and at the collar is $0\mathrm{.}12.$ If the maximum allowable bearingstress at the threads is $5\mathrm{.}8$ MPa, determine: a$)$ The maximum load that can be raised by the screw such that the bearing stressesdoes not exceed the maximum allowable bearing stress.b$)$ The torque needed to raise the load calculated in $(1).$c$)$ The screw efficiencyd$)$ The power needed to rotate the screw at a speed of $12$ rpm$.$e$)$ The linear velocity of the screw, v$,$ against the nut in m$/$s if it rotates at speed of $12$rpm