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