Question

The greatest and least resultant of two forces at a point are 29N and 5N respectively each
force is increased by 3N and applied at right angles on a particle, the new resultant force is
A) 35N
B) 25N
C) 433 N
D) 423 N

With solution


Gn armies...... have bangtonk dreams ❤️​

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

Answer 2

Answer:

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

Happy V day