question_answer

Moment of inertia of a ring of mass M and radius R about a tangent to the circle of the ring is

A)  \[\frac{5}{2}M{{R}^{2}}\]                            

B)  \[\frac{3}{2}M{{R}^{2}}\]

C)  \[\frac{1}{2}M{{R}^{2}}\]            

D)         \[M{{R}^{2}}\]

E)  \[\frac{7}{2}M{{R}^{2}}\]

Correct Answer: B

Solution :

Moment of inertia of a ring about a tangent                 \[{{I}_{t}}=\frac{M{{R}^{2}}}{2}+M{{R}^{2}}\]                 \[=\frac{3}{2}M{{R}^{2}}\]