e moment of inertia of a solid sphere that is rotating about any diameter is equal to I0 = 2/5 MR2 . If the mass of the sphere is doubled but the radius is reduced in half, how does the moment of inertia change? It becomes 1/16 of the initial moment of inertia It becomes 1/4 of the initial moment of inertia It becomes 1/2 of the initial moment of inertia It becomes 1/8 of the initial moment of inertia How does the rotational energy of a body change if the angular velocity is doubl
e moment of inertia of a solid sphere that is rotating about any diameter is equal to I0 = 2/5 MR2 . If the mass of the sphere is doubled but the radius is reduced in half, how does the moment of inertia change? It becomes 1/16 of the initial moment of inertia It becomes 1/4 of the initial moment of inertia It becomes 1/2 of the initial moment of inertia It becomes 1/8 of the initial moment of inertia How does the rotational energy of a body change if the angular velocity is doubl
University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter1: The Nature Of Light
Section: Chapter Questions
Problem 34P: Suppose a man stands in front of a mm-or as show below. His eyes are 1.65 m above the floor and the...
Related questions
Question
The moment of inertia of a solid sphere that is rotating about any diameter is equal to I0 = 2/5 MR2 . If the mass of the sphere is doubled but the radius is reduced in half, how does the moment of inertia change?
It becomes 1/16 of the initial moment of inertia
It becomes 1/4 of the initial moment of inertia
It becomes 1/2 of the initial moment of inertia
It becomes 1/8 of the initial moment of inertia
How does the rotational energy of a body change if the angular velocity is doubled?
the rotational energy increases by a factor of 8.
the rotational energy increases by a factor of 2.
the rotational energy does not change.
the rotational energy increases by a factor of 4.
![/=
1 = MR²
| =
Axis
1 =
R
MR2
2
12
Axis L
2MR2
5
Axis
R
Axis
Axis
Hoop about
cylinder axis
Solid cylinder
(or disk) about
cylinder axis
Thin rod about
axis through
center to
length
Solid sphere
2R about any
diameter
/=
Hoop about
any diameter
MR2
2
1 =
1 = M (R³+R³)
1 =
=
Axis
MR2 MR
+
4
12
Axis
MIR
3
Axis L
Axis
1=
2MR²
3
Axis
Annular cylinder
(or ring) about
cylinder axis
a
M(a² + b²)
12
Solid cylinder
(or disk) about
central diameter
Thin rod about
axis through one
end to length
Thin
2R spherical shell
about any
diameter
Slab about
Laxis through
center](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f35a07c-a5eb-4d79-bb69-5908bd1ff29b%2Fb45379e4-a26f-46a3-8631-a51a786b66df%2F7ahw5rt_processed.png&w=3840&q=75)
Transcribed Image Text:/=
1 = MR²
| =
Axis
1 =
R
MR2
2
12
Axis L
2MR2
5
Axis
R
Axis
Axis
Hoop about
cylinder axis
Solid cylinder
(or disk) about
cylinder axis
Thin rod about
axis through
center to
length
Solid sphere
2R about any
diameter
/=
Hoop about
any diameter
MR2
2
1 =
1 = M (R³+R³)
1 =
=
Axis
MR2 MR
+
4
12
Axis
MIR
3
Axis L
Axis
1=
2MR²
3
Axis
Annular cylinder
(or ring) about
cylinder axis
a
M(a² + b²)
12
Solid cylinder
(or disk) about
central diameter
Thin rod about
axis through one
end to length
Thin
2R spherical shell
about any
diameter
Slab about
Laxis through
center
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![University Physics Volume 3](https://www.bartleby.com/isbn_cover_images/9781938168185/9781938168185_smallCoverImage.gif)
University Physics Volume 3
Physics
ISBN:
9781938168185
Author:
William Moebs, Jeff Sanny
Publisher:
OpenStax
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![College Physics](https://www.bartleby.com/isbn_cover_images/9781938168000/9781938168000_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
![University Physics Volume 3](https://www.bartleby.com/isbn_cover_images/9781938168185/9781938168185_smallCoverImage.gif)
University Physics Volume 3
Physics
ISBN:
9781938168185
Author:
William Moebs, Jeff Sanny
Publisher:
OpenStax
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![College Physics](https://www.bartleby.com/isbn_cover_images/9781938168000/9781938168000_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
![Physics for Scientists and Engineers, Technology …](https://www.bartleby.com/isbn_cover_images/9781305116399/9781305116399_smallCoverImage.gif)
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University