Question

# Following sets of three forces act on a body. Whose resultant cannot be zero?

A
10,10,10
B
10,10,20
C
10,20,20
D
10,20,40

Solution

## The correct option is D $$\;10,20,40$$$$\textbf{Step 1: Conclusion from triangle law of addition}$$From the triangle law of vector addition,The resultant must be zero if the sum of two forces $$\geq$$ remaining force$$\textbf{Step 2: Analysing options}$$In all the options except D, the sum of two forces is greater or equal to the remaining forceHowever, For option D, $$10 + 20 = 30$$$$30 < 40$$Hence, the resultant can not be zero for option D.$$\therefore$$ Option $$D$$ is the correct answer.Physics

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