Two forces F1 and F2 are acting on a body. Find the magnitude and direction of
a third force F which must be applied on the body in order to bring it to
equilibrium in the following cases.
I. F1 = (i+2j-k)N and F2 = (2i-j-k)N.
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Explanation:
ANSWER
Given that,
Two forces F
1
and F
2
=5N
Angle θ=60
0
We know that, the resultant force is
∣F∣=∣F
1
∣+∣F
2
∣
∣F∣=
F
1
2
+F
2
2
+2F
1
F
2
cosθ
∣F∣=
(5)
2
+(5)
2
+2×5×5×
2
1
∣F∣=
75
∣F∣=8.66N
Hence, the resultant force acting on the body is 8.66 N
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