A) \[\frac{4}{3}R\]
B) \[\frac{\sqrt{17}}{2}R\]
C) \[3R\]
D) \[\frac{\sqrt{15}}{2}R\]
Correct Answer: B
Solution :
[b]: An axis passing through \[x=2R,y=0\]is in \[\otimes \] direction as shown in figure. Moment of inertia about this axis will be \[{{I}_{1}}=\frac{1}{2}m{{R}^{2}}+m{{(2R)}^{2}}=\frac{9}{2}m{{R}^{2}}\] Axis passing through y = d, z = 0 is shown by dotted line in figure. Moment of inertia about this axis will be \[{{I}_{2}}=\frac{1}{2}m{{R}^{2}}+m{{d}^{2}}\] ...(ii) By equations (i) and (ii), we get \[\frac{1}{4}m{{R}^{2}}+m{{d}^{2}}=\frac{9}{2}m{{R}^{2}}\]or\[d=\frac{\sqrt{17}}{2}R\]You need to login to perform this action.
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