The resultant of two forces at right angle is 17 N.If the maximum resultant is 23N ,the greater force is
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Answered by
0
Answer:
i think 23 Nis ur answer
Answered by
0
Answer:
Let the two forces are
P
and
Q
N and
P
>
Q
Given that the resultant of 2 forces at right angles is 17 N, we can write
P
2
+
Q
2
=
17
2
...
.
.
(
1
)
Again it is also given that the maximum resultant is
23
N.The resultant of two forces becomes maximu when the angle between them is zero. So the magnitude of the resultant will be sum of the magnitudes of two vectors.
So we can also write
P
+
Q
=
23
...
...
(
2
)
Now
(
P
+
Q
)
2
+
(
P
−
Q
)
2
=
2
(
P
2
+
Q
2
)
⇒
23
2
+
(
P
−
Q
)
2
=
2
×
17
2
⇒
P
−
Q
=
√
2
×
17
2
−
23
2
=
√
578
−
529
=
√
49
=
7
N
So
P
−
Q
=
7
...
.
.
(
3
)
Adding (2) and (3) we get
2
P
=
30
⇒
P
=
15
N
So greater force
P
=
15
N
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