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Force Diagrams (Free Body Diagrams) Example 1 Consider the box pulled by a string that remains at rest. FN F fsf Box Fg FT String Since the box has four interactions it has four forces acting upon it. Table Earth Force Diagrams (Free Body Diagrams) FN Example 1 Consider the box pulled by a string that remains at rest. F fs FT FTx Fg FTy Since v constant Fg FN FTy F fs FTx Since v constant Force Diagrams (Free Body Diagrams) Example 2 Consider the box on a frictionless incline. FN Incline Box Fg Earth Since the box has two interactions it has two forces acting upon it. Force Diagrams (Free Body Diagrams) Example 2 Consider the box on a frictionless incline. y x Rotate the x-axis parallel to the motion so that the motion is one dimensional! Force Diagrams (Free Body Diagrams) Example 2 Consider the box on a frictionless incline. y Fgy Fgx Fg x Rotate the x-axis parallel to the motion so that the motion is one dimensional! Force Diagrams (Free Body Diagrams) Example 2 Consider the box on a frictionless incline. y y F x gy Fgx x Fg Draw the y-component of the force of gravity first so that the angle of inclination is the included angle! Force Diagrams (Free Body Diagrams) Example 2 Consider the box on a frictionless incline. Are the forces balanced? y FN FN Fgy Since v constant Fgy Fgx Fg x Force Diagrams (Free Body Diagrams) Example 2 Consider the box on a frictionless incline. The box speeds up as it moves down the incline because of the net force provided by Fgx . y FN FN Fgy Since v constant Fgy Fgx Fg x Force Diagrams (Free Body Diagrams) Example 3 Consider the box sliding down the incline at a constant velocity. FN F fkf Box Incline Fg Earth Since the box has three interactions it has three forces acting upon it. Force Diagrams (Free Body Diagrams) Example 3 Consider the box sliding down the incline at a constant velocity. y x Rotate the x-axis parallel to the motion so that the motion is one dimensional! Force Diagrams (Free Body Diagrams) Since v constant Example 3 Consider the box sliding down the incline at a constant velocity. y FN Fgy F fk Fgx FN Since v constant x F fk Fg Fgy Fgx Draw the y-component of the force of gravity first so that the angle of inclination is the included angle!
