For a free body diagram shown in figure, four forces are applied in ' x ' and ' y '

English

Gujarati

Hindi

4-1.Newton's Laws of Motion

medium

For a free body diagram shown in the figure, the four forces are applied in the ' $x$ ' and ' $y$ ' directions. What additional force must be applied and at what angle with positive $x$-axis so that the net acceleration of body is zero?

$\sqrt{2} N , 45^{\circ}$

$\sqrt{2} N , 135^{\circ}$

$\frac{2}{\sqrt{3}} N , 30^{\circ}$

$2 N , 45^{\circ}$

(JEE MAIN-2022)

Let addition force required is $=\overrightarrow{ F }$

$\overrightarrow{ F }+5 \hat{ i }-6 \hat{ i }+7 \hat{ j }-8 \hat{ j }=0$

$\overrightarrow{ F }=\hat{ i }+\hat{ j },|\overrightarrow{ F }|=\sqrt{2}$

Angle with X-axis: $\tan \theta=\frac{ y \text { component }}{ x \text { component }}=\frac{1}{1}$

$\theta=45^{\circ}$

Standard 11

Physics

medium

medium

easy

medium

normal