Vector Diagrams

Force vectors: Figure 16.6 displays vector diagrams that describe conditions for a box on an inclined plane.  Match each of the following stories with a vector diagram. Note that gravitational force is resolved into a force acting downhill (the accelerating force parallel to the surface, Fa) and a force acting at right angles towards the surface (perpendicular force, F^).  A description of the component forces follows:

(a) A box bends the ramp. 

(b) A heavier box accelerates down a frictionless ramp. 

(c) A lighter box rests on a ramp at an angle where it is just about to slide. 

(d) A lighter box accelerates down a frictionless ramp.  

(e) A heavier box rests on a ramp at an angle where it is just about to slide. 

(f) A heavier box accelerates down a ramp, generating heat from friction.