Question

when 2 force a and b are mutually at right angle their resultant is 20 KN when they are enclined at 60 the resultant is 6√5 KN individual magnitude of forces​

Answer 1

Answer:

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Let the forces be F1 and F2

F1^2 + F2^2 = 10

as the angle between them is 90 degrees

when angle is 60

F1^2 + F2^2 + 2 * F1 * F2 *cos(60)=13

10 + F1 * F2=13

3 = F1 * F2

(F1 + F2)^2 = F1^2 + F2^2 + 2 * F1 * F2 = 10 + 6 = 16

F1 + F2 = 4...............(1)

F1 - F2 = √( ( F1 + F2)^2 - 4F1 * F2) = 2.......(2)

from eq.(1) and (2) We get

F1 = 3N ,and F2 = 1 N