Question

the greatest and least resultent at a point are 29 N AND 5N respectivly if each force is incresed by 3 the new rsultant is?

Answer 1

If initial force are

a

and

b

Then greatest resultant is a+b and least is a−b

⟹a+b=29

and a−b=5

⟹a=17N and b=12N

After increasing each by 3N, A=20N and B=15N

And resultant of new forces acting at right angle is

F=

A

2

+B

2

=

20

2

+15

2

⟹F=25N

tanθ=

B

A

=

15

20

=

3

4

⟹θ=53

o

with vector

B

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