Question

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.​

Answer 1

Answer:

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Answer 2

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