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:

Question

TuteeHUB · Accepted Answer

$${{\left[ \frac{{{\omega }_{c}}}{\omega } \right]}^{2}}+1$$

TuteeHUB · Answer

$$\frac{1}{{{\left[ \frac{{{\omega }_{c}}}{\omega } \right]}^{2}}+1}$$

TuteeHUB · Answer

$$\frac{1}{{{\left[ \frac{{{\omega }_{c}}}{\omega } \right]}^{2}}-1}$$

TuteeHUB · Answer

$$\frac{\omega }{{{\left[ \frac{{{\omega }_{c}}}{\omega } \right]}^{2}}-1}$$

1.	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.	\[\frac{\omega }{{{\left[ \frac{{{\omega }_{c}}}{\omega } \right]}^{2}}-1}\]
Answer» C. \[{{\left[ \frac{{{\omega }_{c}}}{\omega } \right]}^{2}}+1\]

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