Question

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?

• A. $\sqrt{2} N , 45^{\circ}$
• B. $\sqrt{2} N , 135^{\circ}$
• C. $\frac{2}{\sqrt{3}} N , 30^{\circ}$
• D. $2 N , 45^{\circ}$

Answer 1

Answer: (A)

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

Answer 2

Let addition force required is =F
F+5i^−6i^+7j^​−8j^​=0
F=i^+j^​,∣F∣=2​
Angle with x-axis: tanθ=x component y component ​=11​
θ=45∘