The length density of the circular ring C = {(x, y, z) = R³ | x² + y² = R², z = 0} radius R is constant. Calculate the moment of inertia of the tire J₂ = A $ (2² +1²) ds C = 2π RX respect to the z-axis. Give the answer in terms of the mass of the tire m = (i. e. finally placing X = m/2πR). of with
The length density of the circular ring C = {(x, y, z) = R³ | x² + y² = R², z = 0} radius R is constant. Calculate the moment of inertia of the tire J₂ = A $ (2² +1²) ds C = 2π RX respect to the z-axis. Give the answer in terms of the mass of the tire m = (i. e. finally placing X = m/2πR). of with
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The length density
of the circular ring
radius R is constant. Calculate the moment of inertia of the tire
λ=
C = {(x, y, z) ≤ R³ | x² + y² = R², z = 0}
=
Jz
respect to the z-axis. Give the answer in terms of the mass of the tire m =
(i. e. finally placing m/2πR).
1$ (20² +
(x² + y²) ds
C
2π RX
of
with
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Transcribed Image Text:J₂ = \ f (y² + 2²³) ds
Jx
Calculate the slopes of the tire with the
X axis. Give
the response to the mass of the tire mass m = 2ær word (ie. by finally placed
m/2Tr).
=
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