Question

The greatest and least resultant of two forces
f1 and F2are 17N and 3N respectively Determine
the. angles btw them when their resultant.is √149N.​

Answer 1

Answer:

θ=90

Explanation:

The greatest and least resultants of two forces F1 and F2 are 17N and 3N respectively.

Let forces be F1 and F2

F1+F2=17 ---(1)

F1-F2=3 ---(2)

From (1) and (2)

Adding both equations

2F1=20

F1=10

F2=7

Let θ be the angle

R be resultant

Then,

R=√(F1^2+F2^2+2*F1*F2*cosθ)

149=100+49+2*10*7*cosθ

140cosθ=0

cosθ=0

θ=90°