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JEE Main20244 Apr 2024Morning ShiftPhysicsMathematics in PhysicsActual

Two forces F ₁ and F ₂ are acting on a body. One force has magnitude thrice that of the other force and the resultant of the two forces is equal to the force of larger magnitude. The angle between F ₁ and F ₂ is ⁻¹ ( 1 n ) . The value of |n| is _____.

Correct answer

0

Step-by-step solution

aligned & | F ₁ |= F & | F _ R |= | F ₂ |=3 ~F & ~F _ R ^2= F ₁^2+ F ₂^2+2 ~F ₁ ~F ₂ & 9 ~F ^2= F ^2+9 ~F ^2+6 ~F ^2 & =- 1 6 & = ⁻¹ ( 1 -6 ) & n =-6 & | n |=6 aligned

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