3) Four point masses of 1.5 kg each are arranged in a square on massless rods. The length of a side of the square is L = 0.30 m. What is the rotational inertia about the axis shown? [0.135 kg m²] L

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question

Can you please solve question number 3 explaining step by step, on a picture please.

Just post the picture of how you did it please, DON'T TYPE IT ON THE WEBSITE.

Thanks.

Rotational Inertia Problems
1) In the diagram below, two particles, each with mass M = 0.85 kg, are fastened to each other, and to a rotation axis at
O, by two thin rods, each with length, d = 5.6 cm and mass M = 1.2 kg. The combination rotates around the rotation
axis with angular speed w = 0.30 rad/s. Measured about O, what are the combination's (a) rotational inertia and (b)
kinetic energy? [(a) 0.023 kg m²; (b) 0.001 J]
2=0.85 kg
= = 0.112m²
m₁ = 0.85
= 0.056
mz
Itotal=IRod +Im, + I m₂ =
m
d
M
M
()
Rod - M Rod= 2(1-2 kg) - 2.4
L = 2(0.056)=112
= // ML ²
히
I total= Modkrodt me,² + m₂ {²
= 0.058 + (0.85) (0.056)²+(0.85) (0.112) ²
= =— (2+4) (₁ 112)²
Stola 0.023 Kg m²
= 0.0101
2) The uniform solid block in the figure has mass 0.172 kg and edge lengths a = 3.5 cm, b = 8.4 cm, and c = 1.4 cm.
Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces.
[4.7 x 104 kg m²]
Rotation
axis
3) Four point masses of 1.5 kg each are arranged in a square on massless rods. The length of a side of the square is L
= 0.30 m. What is the rotational inertia about the axis shown? [0.135 kg m²]
L
00
m
M
-Rotation axis
0
Irod about =
end
Transcribed Image Text:Rotational Inertia Problems 1) In the diagram below, two particles, each with mass M = 0.85 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length, d = 5.6 cm and mass M = 1.2 kg. The combination rotates around the rotation axis with angular speed w = 0.30 rad/s. Measured about O, what are the combination's (a) rotational inertia and (b) kinetic energy? [(a) 0.023 kg m²; (b) 0.001 J] 2=0.85 kg = = 0.112m² m₁ = 0.85 = 0.056 mz Itotal=IRod +Im, + I m₂ = m d M M () Rod - M Rod= 2(1-2 kg) - 2.4 L = 2(0.056)=112 = // ML ² 히 I total= Modkrodt me,² + m₂ {² = 0.058 + (0.85) (0.056)²+(0.85) (0.112) ² = =— (2+4) (₁ 112)² Stola 0.023 Kg m² = 0.0101 2) The uniform solid block in the figure has mass 0.172 kg and edge lengths a = 3.5 cm, b = 8.4 cm, and c = 1.4 cm. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces. [4.7 x 104 kg m²] Rotation axis 3) Four point masses of 1.5 kg each are arranged in a square on massless rods. The length of a side of the square is L = 0.30 m. What is the rotational inertia about the axis shown? [0.135 kg m²] L 00 m M -Rotation axis 0 Irod about = end
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Rotational Kinetic energy
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.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON