Question

The magnitude of two forces when we acting at right angle produce resultant force squreroot10 kg and acting at 60degree produce resultant of sqaure root of 13 kg these forces are

Answer 1

Answer:

Let the forces be f1 and f2

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