Question

The ratio of maximum to the minimum resultant of two forces is 7:1. Find the ratio of two forces

Answer 1

The maximum resultant to two forces will be when they will be at an angle of 0° with each other. So, the maximum resultant force will be A+B

And minimum resultant of two forces when the forces forms an angle of 180° with each other, that's acting in opposite directions. The resultant force will be A-B

Maximum resultant : Minimum Resultant = 7:1

It can also be written as,

A+B:A-B= 7x : x

So,

A+B= 7x

A-B= x

________

2A = 8x

A = 4x

And B = 7x-4x = 3x

Therefore ratio of two forces will be 4:3

Cheers!