Q. 52

Expert-verifiedFound in: Page 332

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.m^{2}

b) The moment of inertia when axis is at edge is 0.12 kg.m^{2}

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

Axis through the centre of the disk

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

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

Axis through the edge of the disk

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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