Worksheet 2: Drawing Force Diagrams

Based on the analysis of all six questions, here is a complete solution for drawing the free-body diagrams:

Question 1: A box is pulled across a frictionless surface by a rope.
- Forces to draw:
- Fp (Pulling Force): An arrow pointing horizontally to the right, representing the force from the rope.
- Fg (Gravitational Force/Weight): An arrow pointing vertically downward from the center of the box.
- Fn (Normal Force): An arrow pointing vertically upward from the bottom of the box, perpendicular to the surface. Since there's no vertical acceleration, Fn = Fg.

Question 2: A box is pulled across a rough surface by a rope.
- Forces to draw:
- Fp (Pulling Force): An arrow pointing horizontally to the right.
- Fg (Gravitational Force/Weight): An arrow pointing vertically downward.
- Fn (Normal Force): An arrow pointing vertically upward. Again, Fn = Fg if there's no vertical acceleration.
- Ff (Frictional Force): An arrow pointing horizontally to the left, opposing the direction of motion (or intended motion).

Question 3: A box is pulled up an incline by a rope.
- Forces to draw:
- Fp (Pulling Force): An arrow pointing parallel to the incline and upward.
- Fg (Gravitational Force/Weight): An arrow pointing vertically downward.
- Fn (Normal Force): An arrow pointing perpendicular to the surface of the incline, away from it.
- Ff (Frictional Force - if applicable): An arrow pointing parallel to the incline and downward, opposing the motion. (The problem doesn't specify if the incline is rough, but if friction is present, this is its direction).

Question 4: A box is pushed down an incline by a rope.
- Forces to draw:
- Fp (Pushing Force): An arrow pointing parallel to the incline and downward.
- Fg (Gravitational Force/Weight): An arrow pointing vertically downward.
- Fn (Normal Force): An arrow pointing perpendicular to the surface of the incline, away from it.
- Ff (Frictional Force - if applicable): An arrow pointing parallel to the incline and upward, opposing the motion.

Question 5: A box is suspended from a ceiling.
- Forces to draw:
- Fg (Gravitational Force/Weight): An arrow pointing vertically downward from the center of the box.
- T1 (Tension in Rope 1): An arrow pointing along the direction of the first rope, pulling the box upward and slightly to the left.
- T2 (Tension in Rope 2): An arrow pointing along the direction of the second rope, pulling the box upward and slightly to the right.
- The vertical components of T1 and T2 must add up to equal Fg for the box to be in equilibrium.

Question 6: A box is suspended from a ceiling at an angle.
- Forces to draw:
- Fg (Gravitational Force/Weight): An arrow pointing vertically downward.
- T (Tension in the single rope/cable): An arrow pointing along the direction of the rope, which is at an angle. This single tension force must have a vertical component that balances Fg and a horizontal component that is balanced by another force (like a wall or another rope not shown, or it might be part of a larger system). In a simple suspension, if only one rope is shown, it should be vertical; the angled depiction suggests a more complex scenario where the tension has both vertical and horizontal components.

In summary, for each scenario, you must identify all forces acting *on* the object (the box) and represent them as arrows originating from the object's center of mass. The direction of each arrow indicates the direction of the force, and the length can be used to indicate relative magnitude. The key forces are always gravity (downward), normal force (perpendicular to the surface), applied forces (like pulling or pushing), and friction (opposing motion).