Question

The forces are in the ratio of 3:5 producing resultant 35N acting at an angle 60° with each other .Find out the vectors?

Answer 1

Let the force be 3x and 5x

$resultant = 35 \\ \sqrt{ {(3x)}^{2} + {(5x)}^{2} + 2 \times (3x)(5x) \cos(60) } \\ \sqrt{49 {x}^{2} } = 35 \\ 7x = 35 \\ x = 5 \\ \\ vectors \: will \: be \\ 15 i \: and \: 25 \: j$

 $\vec{r}=15 \hat{\imath}+25\hat{\jmath}$


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