Rotational Motion Question 184

Moment of inertia of a circular wire of mass M and radius R about its diameter is $\frac{1}{4}MR^2$

Options:

A) $MR^{2}/2$

B) $MR^{2}$

C) $2MR^{2}$

D) $MR^{2}/4$

Show Answer

Answer:

Correct Answer: A

Solution:

Perpendicular axis theorem

$I _{x}+I _{y}\neq I _{z}$

$\Rightarrow I=\frac{1}{2}MR^{2}$

So

$I=\frac{MR^{2}}{2}$



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