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Chapter 12: Q. 16 (page 330)

A 12-cm-diameter CD has a mass of 21g. What is the CD's moment of inertia for rotation about a perpendicular axis (a) through its center and (b) through the edge of the disk?

Short Answer

Expert verified

The CD's moment of inertia for rotation through its center is3.8×10−5kgm2

The CD's moment of inertia for rotation through the edge of the disk is1.14×10−4kgm2

Step by step solution

01

Step 1. given information

The mass of disk is 21 g and its diameter is 12 cm

02

Part (a)

The center of the CD is its center of mass.

Icm=12MR2=120.021kg0.060m2=3.8×10−5kgm2

03

Part (b)

Using the parallel-axis theorem with d=0.060m,

I=Icm+Md2=3.8×10−5kgm2+0.021kg0.060m2=1.14×10−4kgm2

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