The greatest and the least resultant of two forces acting at a point are 25N and 5N respectively. If each of force is increased by 5N, find the resultant of two new forces acting at right angles to each other.
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If two forces are F1 and F2 then,
F1 + F2 = 10N
F1 - F2 = 6N
Add above two equations
2F1 = 16
F1 = 8N
From first equation
F2 = 10 - 8 = 2N
When increased by 3N
F1 = 8N + 3N = 11N
F2 = 2N + 3N = 5N
Resultant = sqrt(11^2 + 5^2) = sqrt(121 + 25) = sqrt(146) = 12.083N
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