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The uniform solid block in right figure has mass 0.2 kg and edge lengths a =...

請於答案卷(卡)作答,於本試題紙上作答者,不予計付。 ※考生請注意:本試題不可使用計算機。 第一部分:簡答題(60分) 2題ー垂题5分,請於答案卷上標明题號並依序作答(中英文作答均可 無需詳列計算過程) 1. The uniform solid block in right figure has mass 0.2 kg and edge lengths a -5.0 cm, b -8.0 cm, and c-2.0 cm. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces Ca

The uniform solid block in right figure has mass 0.2 kg and edge lengths a = 5.0 cm, b = 8.0 cm, and c = 2.0 cm. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces.
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Answer #1

The moment of inertia at the midddle of center= 1/12 M( b^2 + a^2)= 0.2/ 12 ( 0.0025 + 0.0064) = 1.483 x 10^-4

Distance between the center and axis at corner = 1/2 sqroot ( a^2+b^2)

Using the paralllel axis theorem,

I = 1/12 M ( b^2 +a^2) + M ( a^2+b^2) / 4 = 1.483 x 10^-4 + 4.45 x 10^-4= 5.933 x 10^-4

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