Question

a heavy box is to be dragged along a rough horizontal floor. To do so , person A pushesh it at an angle 30° from the horizontal and requires a minimum force Fa, while person B pulls the box at an angle of 60° from the horizontal and needs minimum force Fb. If the coefficient of friction between the box and the floor is (√3/5), the ratio Fa/Fb is

Answer 1

Draw the free body diagrams for both the cases and solve.
My solution is in the attachment.
If u want u can further solve by rationalizing the denominator.

Hope it helps!!
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