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
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
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter13: Rotation Ii: A Conservation Approach
Section: Chapter Questions
Problem 32PQ
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Can you please solve question number 2 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0655393b-8df3-4633-b13c-e0d6983d2306%2F1d024153-c31e-470c-b821-bc4ab6f6cd43%2Fjlvn95_processed.png&w=3840&q=75)
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
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