A circular disk has a radius R and mass M. A hole with a diameter R is drilled on it as shown in the figure. What is the moment of inertia about the vertical axis passing through the center of the disk? (latsk =MR²)

A circular disk has a radius R and mass M. A hole with a diameter R is drilled on it as shown in the figure. What is the moment of inertia about the vertical axis passing through the center of the disk? (latsk =MR²)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 15CQ

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

A circular disk has a radius R and mass M. A hole with a diameter R is drilled on it as shown in
the figure. What is the moment of inertia about the vertical axis passing through the center of
the disk? (Iatsk =MR²)
A
C
D
15
MR2
16
1
MR2
16
1
MR
16
17
MR2
16
15
MR
16

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