The greatest and the least resultant of two forces acting at a point are 29newton and 5 newton respectively . If each forces acting at right angles to each other.
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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
Answered by
1
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
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