imp
ime
Example 2.3. Find the angle between two forces of equal
magnitudes when the magnitude of their resultant is also
equal to the magnitude of either of these forces.
Answers
Answered by
1
Let the angle between
F
a
and
F
b
be
θ
and their resultant is
F
r
So
F
2
r
=
F
2
a
+
F
2
b
+
2
F
a
F
b
cos
θ
Now by the given condition
let
F
a
=
F
b
=
F
r
=
F
So
F
2
=
F
2
+
F
2
+
2
F
2
cos
θ
⇒
cos
θ
=
−
1
2
=
cos
(
2
π
3
)
∴
θ
=
2
π
3
Similar questions