Question

Resultant of two force which have equal magnitudes and which act at right angle to each other is 1414 dyne .calculate the magnitude of each forces

Answer 1

let the two forces be F1 and F2

F1=F2=F

x=90

then the resultant of the two forces is given by

=√(F1²+F2²+2F1F1cosx)

=√(F²+F²+0)        (as cos90=0)

=√2 F

but √2F=1414

(√2=1.414)

F*1.414=1414

F=1000 N

hope this helps.

Answer 2

Resultant of equal perpendicular vectors

sqrt(2)*a(mod)=R(mod)

here 1.414×F=1414

F=1000dyne or 10^-2N