9.35 A twirler's baton is made of a slender metal cylinder of mass M and length L. Each end has a rubber cap of mass m and you can accurately treat each cap as a particle in this problem. Find the total moment of inertia of the baton about the usual twirling axis (per- pendicular to the baton through its center).
9.35 A twirler's baton is made of a slender metal cylinder of mass M and length L. Each end has a rubber cap of mass m and you can accurately treat each cap as a particle in this problem. Find the total moment of inertia of the baton about the usual twirling axis (per- pendicular to the baton through its center).
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter11: Angular Momentum
Section: Chapter Questions
Problem 58P: Shown below is a small particle of mass 20 g that is moving at a speed of 10.0 m/s when it collides...
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Question
9.35, why is there a 1/12 ML^2 for M? Please draw a free body diagram, thanks!
![9.34 Small blocks, each with mass m, are clamped at the ends and
at the center of a light rod of length L. Compute the moment of iner-
tia of the system about an axis perpendicular to the rod and passing
through a point of the length from one end. You can ignore the
moment of inertia of the light rod.
]=mr²
t
J= m ( 4 ) ² + m ( 2 ) ² + (1²
I= ALL': gal
MLC
9mL?
1/m2²
16
16
16
9.35 A twirler's baton is made of a slender metal cylinder of mass
M and length L. Each end has a rubber cap of mass m and you can
accurately treat each cap as a particle in this problem. Find the total
moment of inertia of the baton about the usual twirling axis (per-
pendicular to the baton through its center).
I= mr²
m ( = 1² + m ( = 1²
me²
me me ² - 2m ²²
4
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29d9ecf2-8ea2-4c7b-b874-691941710284%2Fe4f9d8cd-d5c3-4412-bc0e-eab875eda485%2Faegjqc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9.34 Small blocks, each with mass m, are clamped at the ends and
at the center of a light rod of length L. Compute the moment of iner-
tia of the system about an axis perpendicular to the rod and passing
through a point of the length from one end. You can ignore the
moment of inertia of the light rod.
]=mr²
t
J= m ( 4 ) ² + m ( 2 ) ² + (1²
I= ALL': gal
MLC
9mL?
1/m2²
16
16
16
9.35 A twirler's baton is made of a slender metal cylinder of mass
M and length L. Each end has a rubber cap of mass m and you can
accurately treat each cap as a particle in this problem. Find the total
moment of inertia of the baton about the usual twirling axis (per-
pendicular to the baton through its center).
I= mr²
m ( = 1² + m ( = 1²
me²
me me ² - 2m ²²
4
4
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