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UPSC Civil Service Exam Questions - Engineering

Q1:

If the magnitude of the resultant of two forces F and 2F acting at a point O is 50 N, and the included angle between F and 2F is 90°, then what is the magnitude of F ?

A F = 10 N

B
F = 502 N

C
F = 252 N

D
F = 105 N

ANS:D -

F = 105 N

R2 = F2+(2F)2 + 2(Fx2FxCOSQ), COS90=0.
50 x 50 = 5F2.

F= √(10X50) = 10 √(5).