Solve the all parts of following problem:
Problem: A 50 kg steel file cabinet is in the back of a dump truck. The trucks bed, also made of steel, is slowly tilted.
Part A: What is the size of the static friction force on the cabinet when the bed is tilted at 20.o?
Part B: At what angle will the file cabinet begin to slide if the coefficient of static friction of steel on steel is µ¬s= 0.80 and the coefficient of kinetic friction is µ¬k = 0.60?
Please explain each step and equations used.