Two forces {F₁} = 1,N and {F₂} = 2,N act along lines x = 0 and y = 0 respectively. Then resultan

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3-1.Vectors

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Two forces ${F_1} = 1\,N$ and ${F_2} = 2\,N$ act along the lines $x = 0$ and $y = 0$ respectively. Then the resultant of forces would be

A

$\hat i + 2\hat j$

B

$\hat i + \hat j$

C

$3\hat i + 2\hat j$

D

$2\hat i + \hat j$

Solution

(d) $x = 0$ means $y-$ axis $ \Rightarrow \,\,\,{\overrightarrow F _1} = \hat j$

$y = 0$ means $x-$ axis $ \Rightarrow \,\,\,{\overrightarrow F _2} = 2\hat i$

so resultant $\,\overrightarrow F = {\overrightarrow F _1} + {\overrightarrow F _2} = 2\hat i + \hat j$

Standard 11

Physics

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