The greatest and the least resultant of two forces acting at a point are 29N and 5N respectively. If each force is
increased by 3N, find the resultant of two new forces acting at right angle to each other.
Answers
Explanation:
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
Answer:
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Physics
Motion in a Plane
Mathematical Operations on Vectors
The qreatest & the least re...
PHYSICS
The qreatest & the least resultant of two forces acting at a point are 29 N and 5N respectively. If each force is in aw eased by 3 N find the resultant of the two new forces acting at right angle to each other and obtain its direction also? (10m)
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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
solution