A) \[\frac{ML{{\omega }^{2}}}{2}\]
B) \[ML{{\omega }^{2}}\]
C) \[\frac{ML{{\omega }^{2}}}{4}\]
D) \[\frac{M{{L}^{2}}{{\omega }^{2}}}{2}\]
Correct Answer: A
Solution :
\[dM=\left( \frac{M}{L} \right)dx\] force on ?dM? mass is \[dF=(dM)\,{{\omega }^{2}}x\] By integration we can get the force exerted by whole liquid Þ \[F=\int_{0}^{L}{\frac{M}{L}}{{\omega }^{2}}x\,dx\]\[=\frac{1}{2}M{{\omega }^{2}}L\]
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