Question

The greatest and least resultant of two forces
acting at a point are 29 Kg wt. and 5 Kg wt.
respectively. If each force is increased by 3
Kg wt. the magnitude of the resultant of new
forces acting at right angles to each other is​

Answer 1

Explanation:

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

solution