You have been given the following solid cone. The cone has a mass (m), height (h) and a base with a radius (r). Prove that the moment of inertia of the cone about its central axis is equal to (3/10)mr² (independent of h). N h

You have been given the following solid cone. The cone has a mass (m), height (h) and a base with a radius (r). Prove that the moment of inertia of the cone about its central axis is equal to (3/10)mr² (independent of h). N h

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

You have been given the
following solid cone. The
cone has a mass (m),
height (h) and a base with a
radius (r). Prove that the
moment of inertia of the
cone about its central axis
is equal to (3/10)mr²
(independent of h).
N
h

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