The moment of inertia for rotation about the perpendicular axis through the edge of the disk is 3.78 × 10⁻⁵ kgm².
Moment of inertia
Moment of inertia is referred to as the product of mass of section and the square of the distance between the reference axis and the centroid of the section.
Moment of inertia of solid cylinder or disk is expressed as;
I = 1/2 × mr²
Given the data in the question;
Mass of disk m = 21g = 0.021kgDiameter of disk d = 12cm = 0.12mRadius r = d/2 = 0.12m / 2 = 0.06mMoment of inertia I = ?We substitute our given value into the expression above.
I = 1/2 × 0.021kg × (0.06m)²
I = 1/2 × 0.021kg × 0.0036m²
I = 3.78 × 10⁻⁵ kgm²
Therefore, the moment of inertia for rotation about the perpendicular axis through the edge of the disk is 3.78 × 10⁻⁵ kgm².
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