A) \[(3\hat{i}-2j-3\hat{k})F\]
B) \[(3\hat{i}+2j+3\hat{k})F\]
C) \[(3\hat{i}-2j+3\hat{k})F\]
D) \[(3\hat{i}+2j-3\hat{k})F\]
Correct Answer: C
Solution :
The moment of force about point O is given as \[{{\vec{r}}_{1}}\times {{\vec{F}}_{1}}\times {{\vec{r}}_{2}}\times {{\vec{F}}_{2}}=(2\hat{i}+3\hat{j})\times (F\hat{k})+(6\hat{j})\]\[\times [{{F}_{2}}\cos 30(-\hat{j})+{{F}_{2}}\sin 30(-\hat{i})\] \[=F[(3\hat{j}-2\hat{j}+3\hat{k})\]You need to login to perform this action.
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