Tardigrade
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Tardigrade
Question
Mathematics
Five forces A B, A C, A D, A E, A F act at the vertex A of a regular hexagon A B C D E F. If O is the centroid of the hexagon, then their resultant is a force given by
Q. Five forces
A
B
,
A
C
,
A
D
,
A
E
,
A
F
act at the vertex
A
of a regular hexagon
A
BC
D
EF
. If
O
is the centroid of the hexagon, then their resultant is a force given by
1478
261
Vector Algebra
Report Error
A
4AO
B
5AO
C
6AO
D
none of these
Solution:
If
R
is the resultant of given forces, then
R
=
A
B
+
A
C
+
A
D
+
A
E
+
A
F
=
E
D
+
A
C
+
A
D
+
A
E
+
C
D
(
∵
A
B
=
E
D
and
A
F
=
C
D
)
=
(
A
C
+
C
D
)
+
(
A
E
+
E
D
)
+
A
D
=
A
D
+
A
D
+
A
D
=
3
A
D
=
6
A
O
