A) \[\frac{ml{{\omega }^{2}}}{k-\omega m}\]
B) \[\frac{ml{{\omega }^{2}}}{k+m{{\omega }^{2}}}\]
C) \[\frac{ml{{\omega }^{2}}}{k+m\omega }\]
D) \[\frac{ml{{\omega }^{2}}}{k-m{{\omega }^{2}}}\]
Correct Answer: D
Solution :
[d] |
At elongated position (x), |
\[{{F}_{radial}}\text{=}mr{{\omega }^{2}}\] |
\[\therefore kx=m\left( \ell +x \right){{\omega }^{2}}\] |
\[\therefore x=\frac{m\ell {{\omega }^{2}}}{k-m{{\omega }^{2}}}\] |
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