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Q. 52

Expert-verified
Found in: Page 332

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# What is the moment of inertia of a 2.0 kg, 20-cm-diameter disk for rotation about an axis (a) through the center, and (b) through the edge of the disk?

a) The inertia when axis is through the center is 0.04 kg.m2

b) The moment of inertia when axis is at edge is 0.12 kg.m2

See the step by step solution

## Part(a) Step 1: Given information

Mass of the disk, M=2 kg Radius of the disk, R=20 cm = 0.2 m

Axis through the centre of the disk

## Part(a) Step 2: Explanation

We can calculate the Moment of inertia of a disk about an axis passing through the centre and perpendicular to the plane of the disk as

Substitute the value in (1), we get

## Part(b) Step 1: Given information

Mass of the disk, M=2 kg Radius of the disk, R=20 cm = 0.2 m

Axis through the edge of the disk

## Part(b) Step 2: Explanation

We will use parallel axis theorem to find the moment of inertia of the disk about an edge.

Substitute the values, we get