A) \[\frac{L}{3}\]
B) \[\frac{2L}{3}\]
C) \[\frac{L}{2}\]
D) \[\frac{2L}{\sqrt{3}}\]
Correct Answer: B
Solution :
Consider an element AB of thickness dx at distance x |
Mass of element AB is \[dm=\frac{k}{L}(xdx)\] |
Formula for center of mass coordinate \[={{x}_{com}}=\frac{\int{(dm)x}}{\int{(dm)x}}=\frac{\frac{k}{L}\int\limits_{0}^{L}{{{x}^{2}}dx}}{\frac{k}{L}\int\limits_{0}^{L}{x\,dx}}=\frac{2L}{3}\] |
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