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Statics: Why Bridges Are Built From Triangles

The hidden balancing act behind everything that stands still, from picture wires and seesaws to trusses, I-beams and friction.

Statics · 50 questions

Try 3 questions

1. Two 10-newton forces pull on a ring at right angles to each other. About how large is their resultant?

  1. About 14 newtons
  2. About 10 newtons
  3. Exactly 20 newtons
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Answer: About 14 newtons

Perpendicular forces add like the sides of a right triangle: √(10² + 10²) ≈ 14 N.

2. Two 10-newton forces act on a point with 120 degrees between them. What is the size of their resultant?

  1. About 17 newtons
  2. Exactly 20 newtons
  3. Exactly 10 newtons
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Answer: Exactly 10 newtons

The resultant is 2 × 10 × cos 60° = 10 N, the same size as each force; at 120° the pair forms an equilateral triangle.

3. Must a force always be broken into perpendicular components, such as horizontal and vertical?

  1. No, any two non-parallel directions work
  2. Yes, only right angles give valid parts
  3. Yes, unless the force is already vertical
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Answer: No, any two non-parallel directions work

The parallelogram law lets you resolve a force along any two non-parallel lines, which is handy for inclined members.

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