Question

If two forces act at an angle 90°, square of their resultant is 20kn, if they act at angle 60° square of their resultant is 28kn, find two forces.

Answer 1

Answer:

The resultant of two force is given by F=

A

2

+B

2

+2ABcosθ

where, A & B are two vectors & θ is the angle between them.

Magnitude or resultant is

2×20

2

+2×400cos120

0

=20N

Whereas, the direction of the resultant vector is given by:

tanϕ =

A+Bcosθ

Bsinθ

=

20+20cos120

0

20sin120

0

=

3

⟹ϕ=60

0

Explanation:

I hope this may helps