Two forces acting on point A along their side and having magnitude reciprocal to length of side then

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3-1.Vectors

hard

Two forces acting on point $A$ along their side and having magnitude reciprocal to length of side then resultant of these forces will be proportional to

$\frac {1}{BC}$

$\frac {1}{AD}$

$\frac {1}{BD}$

$\frac {1}{CD}$

Solution

$\overrightarrow{\mathrm{F}}_{1}=\frac{1}{|\mathrm{AC}|}=\frac{1}{\mathrm{b}}$

$F_{2}=\frac{1}{|A B|}=\frac{1}{c}$

$F_{Net}=\sqrt{F_{1}^{2}+F_{2}^{2}}=\sqrt{\frac{1}{h^{2}}+\frac{1}{c^{2}}}=\frac{\sqrt{b^{2}+c^{2}}}{\sqrt{b^{2} c^{2}}}=\sqrt{\frac{a^{2}}{b^{2} c^{2}}}$

$F_{\text {net }}=\frac{a}{b c}$

Area of $\Delta=\frac{1}{2} \times \mathrm{bc}=\frac{1}{2} \times \mathrm{a} \times \mathrm{x}$

$\mathrm{x}=\frac{\mathrm{b} \mathrm{c}}{\mathrm{a}}$

$F_{\text {net }}=\frac{a}{b c}=\frac{1}{x}$

$F_{net}=\frac{1}{|A D|}$

Standard 11

Physics

If $\overrightarrow R$ is the resultant vector of two vectors $\overrightarrow A $ and $\overrightarrow B $, then $\overrightarrow {\left| R \right|} \,…\,\overrightarrow {\left| A \right|} \, + \,\overrightarrow {\left| B \right|} $.

easy

The sum of three forces ${\vec F_1} = 100\,N,{\vec F_2} = 80\,N$ and ${\vec F_3} = 60\,N$ acting on a particle is zero. The angle between $\vec F_1$ and $\vec F_2$ is nearly ………. $^o$

easy

With respect to a rectangular cartesian coordinate system, three vectors are expressed as
$\vec a = 4\hat i – \hat j$, $\vec b = – 3\hat i + 2\hat j$ and $\vec c = – \hat k$
where $\hat i,\,\hat j,\,\hat k$ are unit vectors, along the $X, Y $ and $Z-$axis respectively. The unit vectors $\hat r$ along the direction of sum of these vector is

medium

Two forces, each of magnitude $F$ have a resultant of the same magnitude $F$. The angle between the two forces is……. $^o$

medium

There are two force vectors, one of $5\, N$ and other of $12\, N $ at what angle the two vectors be added to get resultant vector of $17\, N, 7\, N $ and $13 \,N$ respectively

medium

Two forces acting on point $A$ along their side and having magnitude reciprocal to length of side then resultant of these forces will be proportional to

Solution

Similar Questions

If $\overrightarrow R$ is the resultant vector of two vectors $\overrightarrow A $ and $\overrightarrow B $, then $\overrightarrow {\left| R \right|} \,…\,\overrightarrow {\left| A \right|} \, + \,\overrightarrow {\left| B \right|} $.

The sum of three forces ${\vec F_1} = 100\,N,{\vec F_2} = 80\,N$ and ${\vec F_3} = 60\,N$ acting on a particle is zero. The angle between $\vec F_1$ and $\vec F_2$ is nearly ………. $^o$

Two forces, each of magnitude $F$ have a resultant of the same magnitude $F$. The angle between the two forces is……. $^o$

There are two force vectors, one of $5\, N$ and other of $12\, N $ at what angle the two vectors be added to get resultant vector of $17\, N, 7\, N $ and $13 \,N$ respectively

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