1 Pulling a Box up a Ramp (DPS) T A mover is pulling a box of mass m up a ramp that makes an angle 0 above the horizontal. The ramp has rollers on it, so there is no friction. The mover is trying to get the box up the ramp using a rope that makes an angle of 4 above the horizontal, where y is greater than 0. a) Draw a free-body diagram for the box. b) Suppose the mover pulls on the rope with a force F. Find the components of the applied force in a coordinate system adapted to the ramp angle. Also compute the components of the gravitational force. [Hint: Draw the gravity vector in your new coordinate system and work out the trigonemetry carefully.] c) Solve for the acceleration of the box (your answer may be in terms of F). What is the minimum force the mover must pull with in order to move the box up the ramp? d) What is the magnitude of the normal force between the box and the ramp? Again, your answer may be in terms of F