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in Physics by (50.3k points)

The line of action of the resultant of two like parallel forces shifts by one-fourth of the distance between the forces when the two forces are interchanged. The ratio of the two forces is 

(a) 1 : 2 

(b) 2 : 3 

(c) 3 : 4 

(d) 3 : 5

1 Answer

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Best answer

Correct Answer is:  (d) 3 : 5

Taking torque about F, which is the resultant of F1 and F2,

F1x = F2 (d - x)

and F1 (3d/4 - x) = F2 (x + d/4).

Dividing,

 

Solve for x and use F1 / F2 = d - x / x .

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