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← JEE Main 2022 · 25 Jul · Shift 1
PhysicsInteger+4 / -1Question 52 of 90

JEE Main 2022 · 25 Jul · Shift 1, Physics question 52

Four forces are acting at a point P in equilibrium as shown in figure. The ratio of force F1F_1 to F2F_2 is 1:x1:x where x=x= ______.

Forces at P: 2 N up-left at 45° to the vertical, 1 N up-right at 45° to the vertical (45° above F1), F1 horizontal to the right and F2 vertically down.
Answer and worked solution

Official answer: 3

Balance. Horizontal: F1=(2−1)sin⁡45°=12F_1=(2-1)\sin45°=\frac1{\sqrt2}. Vertical: F2=(2+1)cos⁡45°=32F_2=(2+1)\cos45°=\frac3{\sqrt2}.

Ratio 1 : 3.

Answer: 3