• # question_answer A shaft carries a weight W at the centre. The CG of the weight is displaced by an amount e from the axis of the rotation. If 'y is the additional displacement of the CG from the axis of rotation due to the centrifugal force, then the ratio of y to e (where ${{\omega }_{c}}$ is the critical speed of shaft and $\omega$ is the angular speed of shaft) is given by: A) $\frac{1}{{{\left[ \frac{{{\omega }_{c}}}{\omega } \right]}^{2}}+1}$              B) $\frac{1}{{{\left[ \frac{{{\omega }_{c}}}{\omega } \right]}^{2}}-1}$C) ${{\left[ \frac{{{\omega }_{c}}}{\omega } \right]}^{2}}+1$                 D) $\frac{\omega }{{{\left[ \frac{{{\omega }_{c}}}{\omega } \right]}^{2}}-1}$

$\frac{y}{e}=\frac{{{\beta }^{2}}}{1-{{\beta }^{2}}}=\frac{1}{{{\left( \frac{{{\omega }_{c}}}{\omega } \right)}^{2}}-1}$