Auniform pole is propped between the floor and the ceiling of a room. the height of the room is 7.11 ft, and the coefficient of static friction between the pole an the ceiling is 0.671. the coefficient of static friction between the pole and the floor is greater than that between the pole and the ceiling. for parts () assume the mass of the pole is 3.1 ibm and its length is 7.71 ft. give your answers in pounds of force (lbf). (a) find the weight of the pole. w - + (b) find the normal force on the pole from the ceiling. n = + (c) find the frictional force from the ceiling. y + (d) find the normal force from the floor n = 9 + (e) find the frictional force from the floor f = y + for part (f), assume you can make the pole any way you like, out of any material, with any radius and any length. (f) what is the length of the longest pole that can be propped between the floor and the ceiling (in feet)?