34. The displacement vector of a point with respect to origin is T = (3 î+29+3 î) m. A force vector
F = (
2-3 +4 î) N is acting at this point. Calculate its vector moment and moment of force.
(UPB 2010) Ans. 17 î - 69-13 î, 494 N m.
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Explanation:
Work done W=∫
F
.(dx
i
^
+dy
j
^
)
Work done W=∫
2
4
3x
2
dx+∫
3
6
2ydy
Or W=x
3
∣
∣
∣
∣
∣
2
4
+y
2
∣
∣
∣
∣
∣
3
6
Or W=4
3
−2
3
+6
2
−3
2
=85 J
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