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Rotational Inertia of a Pentagon
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Five identical point masses are arranged in a regular pentagon with side length $$s$$. What is the ratio of the rotational inertia about an axis through one vertex perpendicular to the plane ($$I_1$$) to the rotational inertia about an axis through the center perpendicular to the plane ($$I_2$$)?

A

$$I_1/I_2 = 0.8$$

B

$$I_1/I_2 = 2$$

C

$$I_1/I_2 = 1$$

D

$$I_1/I_2 = 1.25$$

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