ii) A uniform sphere made of modeling clay has radius R and moment of inertia I₁ for rotation about a diameter. It is then flattened to a disk with the same radius R. What is the moment of inertia of the disk, Id, in terms of I₁? a. Id=511/4 bId=511/2 c. Id = 51₁ d. Id = 411/5 e. Id = 211/5 f. Id = I1/5

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ii) A uniform sphere made of modeling clay has radius \( R \) and moment of inertia \( I_1 \) for rotation about a diameter. It is then flattened to a disk with the same radius \( R \). What is the moment of inertia of the disk, \( I_d \), in terms of \( I_1 \)?

a. \( I_d = \frac{5I_1}{4} \)  
b. \( I_d = \frac{5I_1}{2} \)  
c. \( I_d = 5I_1 \)  
d. \( I_d = \frac{4I_1}{5} \)  
e. \( I_d = \frac{2I_1}{5} \)  
f. \( I_d = \frac{I_1}{5} \)
Transcribed Image Text:ii) A uniform sphere made of modeling clay has radius \( R \) and moment of inertia \( I_1 \) for rotation about a diameter. It is then flattened to a disk with the same radius \( R \). What is the moment of inertia of the disk, \( I_d \), in terms of \( I_1 \)? a. \( I_d = \frac{5I_1}{4} \) b. \( I_d = \frac{5I_1}{2} \) c. \( I_d = 5I_1 \) d. \( I_d = \frac{4I_1}{5} \) e. \( I_d = \frac{2I_1}{5} \) f. \( I_d = \frac{I_1}{5} \)
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