F1= 2⃗ + 2⃗⃗ (N) and F2= 2⃗ − ⃗ (N) are two constant forces that start to act simultaneously on a mass point (m=2kg) at rest placed in the origin of the coordinate system.
Calculate the acceleration of the body.
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From figure 1, net force F' =F
1
−F
2
From figure 2 net force F" =F
1
+F
2
Given (F
1
−F
2
)(F
1
+F
2
)=27N
F
1
2
−F
2
2
=27
Factors of F = 27 are 1, 2, 7, 3, 9
⇒ If F
1
+F
2
=9N
F
1
−F
2
=3N
∴F
1
=6N and F
2
=3N
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