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QJEEM22Ph80de: JEE Main 2022 Physics - Class 11 JEEM22Ph80de Solution: For a free body diagram shown in the figure, the four forces…

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?

JEE Main 2022 (Online) 25th July Evening Shift Physics - Laws of Motion Question 51 English

Multiple Choice Options

  • A 2N,45∘\sqrt{2} N, 45^{\circ}
  • B 2N,135∘\sqrt{2} N, 135^{\circ}
  • C 23N,30∘\frac{2}{\sqrt{3}} N, 30^{\circ}
  • D 2N,45∘2 N, 45^{\circ}

Step-by-Step Verified Solution

Resultant of already applied forces =−i^−j^= - \widehat i - \widehat j

⇒\Rightarrow Force required to balance =i^+j^= \widehat i + \widehat j

⇒\Rightarrow Force required =2= \sqrt 2 N in magnitude at angle 45 ∘^\circ with +ve x-axis

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