Question

Two forces one of which is thrice the other act on a particle at right angles to one another and are such that if the smaller force is doubled and 8kgwt added to the other the direction of the resultant is unchanged. Determine the magnitude of two forces​

Answer 1

Answer:

Let the forces be F

′

and 3F acting on the particle as shown in the above figure

F and F

′

are perpendicular.

Let the angle between 3F and horizontal be θ

We have :

3Fsinθ=F

sinθ=1/3

As the resultant force is in vertical direction net horizontal force shoud be zero

3Fcosθ=F

′

F

′

=3F×

3

2

2

F

′

=2

2

F

Ratio =3:2

2

solution

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