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 :
\[dm=\frac{M}{L}dx\] \[dF=dm\,x{{\omega }^{2}}\] \[\int_{0}^{F}{dF}=\frac{M}{L}{{\omega }^{2}}\int_{0}^{L}{x\,dx}\] \[F=\frac{M}{L}{{\omega }^{2}}\frac{{{L}^{2}}}{2}=\frac{ML{{\omega }^{2}}}{2}\] Hence, the correction option is [a].You need to login to perform this action.
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