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Which of the following sets of three forces acting on a body cannot have a zero resultant?

1. 10, 10, 10
2. 10, 10, 20
3. 10, 20, 30
4. 10, 20, 40

Correct answer: 10, 20, 40

Solution

Three forces can have zero resultant only if they can be represented by the sides of a triangle taken in order. This requires the largest magnitude to be less than or equal to the sum of the other two. For 10, 20, 40, we have 40 > 10 + 20, so zero resultant is impossible.

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