# . find the magnitude of the two forces such that it they are at right angles, their resultant is /10 N, But if they act an 60 degree ,their resultant is /13 N

2
by venkateshsma

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by venkateshsma

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f1²+f2²=10

as the angle between them is 90 degrees

when angle is 60

f1²+f2²+2*f1*f2*cos(60)=13

10+f1*f2=13

3=f1*f2

(f1+f2)²=f1²+f2²+2*f1*f2=10+6=16

f1+f2=4...(1)

f1-f2=√((f1+f2)²-4f1*f2)=2...(2)

from (1) and (2) u get

f1= 3 N f2= 1 N

f1= 3 N

f2= 1 N