Find the moment about point 4i-k of the forces 2i-j+k and 3i+4j-k acting through the point i+3j.
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Answer:
Correct option is
A
−3
i
^
+11
j
^
+9
k
^
r
=(2
i
^
−
j
^
+3
k
^
)−(
i
^
+2
j
^
−
k
^
)
=
i
^
−3
j
^
+4
k
^
Moment
τ
=
r
×
F
=(
i
^
−3
j
^
+4
k
^
)×(3
i
^
+
k
^
)
=
∣
∣
∣
∣
∣
∣
∣
∣
i
1
3
j
−3
0
k
4
1
∣
∣
∣
∣
∣
∣
∣
∣
=−3
i
^
+11
j
^
+9
k
^
Therefore moment
τ
=−3
i
^
+11
j
^
+9
k
^
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