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Q. 52

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

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

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

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