Problem 1. A block of steel (p=7.85 g/cm³) with dimensions 30 cm x 30 cm x 30 cm is moved at a constant velocity of 1 m/s on a 20° inclined

surface with a kinematic friction coefficient of 0.42 (e.g., a steel block moving on steel surface). (a) Draw a free body diagram of the system. (b) Determine the force (F) that needs to be applied in the horizontal direction to maintain the block velocity. Remember the friction force (F) magnitude is equal to the friction coefficient times the magnitude of the normal force perpendicular to the surface. (c) If a 0.4 mm film of oil (p=0.012 N-s/m²) is applied to the inclined surface, we want to know how much the required force to move the block is changed. First draw a diagram of the oil velocity profile and new free body diagram, then determine the percent reduction of the required force to move the block 1 m/s compared to the surface without oil. F v = 1 m/s 20°