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…
JEE Main 2022 — Physics Mechanics
2022mcqmedium
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?
Official previous-year question
Held on 25 Jul 2022 · Verified 6 Jul 2026.
Options
A
2N,45∘
B
2N,135∘
C
32N,30∘
D
2N,45∘
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Solution
Let additional force required be F.
Vector sum of the four forces and additional force.
F+5i^−6i^+7j^−8j^=0
Force required to make net acceleration zero
F=i^+j^
Therefore, the required force is ∣F∣=12+12=2N
Angle with x-axis: tanθ=xcomponentycomponent=11
Thus, θ=45∘
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