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Question

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


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