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Grade: 11

                        

In this problem we seek to compute the rotational inertia of a disk of mass M and radius R about an axis through its center and perpendicular to its surface. Consider a mass element dm in the shape of a ring of radius r and width dr (see Fig). (a) What is the mass dill of this element, expressed as a fraction of the total mass M of the disk? (b) What is the rotational inertia dI of this element? (c) Integrate the result of part (b) to find the rotational inertia of the entire disk.

5 years ago

Answers : (1)

Aditi Chauhan
askIITians Faculty
396 Points
							236-1180_1.PNG
236-306_1.PNG
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Therefore, the rotational inertia of the circular disc about the axis of rotation passing through the center and perpendicular to the plane of disk is236-2484_1.PNG
5 years ago
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