A box that weighs 200N is sitting on an inclined ramp. The weight is assumed to act at the centroid of the box. A rope is attached to the box and passes over a stationary drum. Both of these surfaces have static friction coefficients as shown in the diagram. A) What is the minimum force, P, is required to prevent the box from moving down the ramp? B) If the rope were to be cut, would the box slip or tip down the ramp or would it stay in equilibrium? Support your decision with all appropriate diagrams/work/equations necessary. P HB = 0.3 B HA=0.15 1.0 m 0.75 m 0.75 m 30°

A box that weighs 200N is sitting on an inclined ramp. The weight is assumed to act at the centroid of the box. A rope is attached to the box and passes over a stationary drum. Both of these surfaces have static friction coefficients as shown in the diagram. A) What is the minimum force, P, is required to prevent the box from moving down the ramp? B) If the rope were to be cut, would the box slip or tip down the ramp or would it stay in equilibrium? Support your decision with all appropriate diagrams/work/equations necessary. P HB = 0.3 B HA=0.15 1.0 m 0.75 m 0.75 m 30°