Mass Moment of Inertia

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1) The radius of gyration of the 10kg body about an axis passing through point G and directed perpendicular to the page is k_G = 2m. Determine the moment of inertia of the body about an axis passing through point A and directed perpendicular to the page.

I_A = ? One answer only.

40 kgm²
120 kgm²
160 kgm²
200 kgm²

2) The moment of inertia of the 2kg slender rod about an axis passing through its mass centre is determined from I_G = (1/12) mL². Apply the parallel-axis theorem in order to determine the moment of inertia about an axis passing through the pin at A.

I_A = ? One answer only.

6 kgm²
24 kgm²
18 kgm²
19.5 kgm²

3) The moment of inertia of the 10kg disk about an axis passing through its mass centre is I = mr²/2. Determine the moment of inertia of the disk about an axis passing through the pin at A.

I_A = ? One answer only.

20 kgm²
40 kgm²
60 kgm²
80 kgm²

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