The moment of inertia of a uniform circular disc about a tangent in its own plane is 5/4MR^2 , where M is mass and R is radius of the disc. Find its moment of inertia about an axis through its centre and perpendicular to its plane.
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Answered by
188
moment of inertia of disc at tangent=5/4mr²=I +mr² (by parallel axis theorem)
I=5/4mr²-mr²=1/4mr²
by perpendicular axis theorem
I+I=I°(perpendicular to plane)
1/4mr²+1/4mr²=mr²/2
I=5/4mr²-mr²=1/4mr²
by perpendicular axis theorem
I+I=I°(perpendicular to plane)
1/4mr²+1/4mr²=mr²/2
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Answered by
125
moment of inertia of disc at tangent=5/4mr²=I +mr² (by parallel axis theorem)
I=5/4mr²-mr²=1/4mr²
by perpendicular axis theorem
I+I=I°(perpendicular to plane)
1/4mr²+1/4mr²=mr²/2
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