Two forces acting on a particle in opposite directions have a resultant 1N. If they act at right angle to each other, the resultant is 5N. Find the value of the 2 forces.
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Answered by
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Answer:
Parallelogram law of vector addition
Case - 1
two forces -'F
1
' & 'F
2
' acting in opposite direction.
by parallelogram law of vector addition.
Ref. image
R
1
=
F
1
2
+F
2
2
+2F
1
F
2
cosθ
F
1
−F
2
=10
Case - 2
Ref. image
R
2
=
F
1
2
+F
2
2
+2F
1
F
2
cos90
o
=50N
F
1
2
+F
2
2
=50
2
F
2
=30N, F
1
=(F
2
+10)=40N
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