The maximum and minimum resultant of two vectors are in the ratio 4 : 3 . Then what is the ratio of their forces ?
A) 7 : 1
B) 1 : 5
C) 4 : 7
D) 3 : 7
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The maximum and minimum resultant of two vectors are in the ratio 4 : 3 . Then what is the ratio of their forces ?
A) 7 : 1
B) 1 : 5
C) 4 : 7
D) 3 : 7
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Answer:
Given:
Maximum and minimum resultant of 2 vectors are in the ratio of 4:3.
To find:
Ratio of forces
Concept:
Since ratio of resultant has been provided , lets consider x as the constant of proportionality.
So the maximum resultant will be 4x
The minimum resultant will be 3x
Calculation:
We should also remember that :
Max resultant is obtained when vectors are directed in the same direction.
Minimum resultant is obtained when vectors are directed in opposite direction .
Adding the 2 Equations , we get :
Putting value of vector a in 2nd equation :
Therefore ratio :