Answered: Inside a machine, two gears, A and B,…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Inside a machine, two gears, A and B, HINGED at their centers, are meshed with each other such that gear A transmits torque and speed to gear B. Gear A has a mass mA=2 kg, radius rA=175 mm, and radius of gyration kA=150 mm. Gear B has a mass B=5 kg, radius rB=525 mm, and radius of gyration kB=400 mm. From rest, a counter-clockwise couple M of constant magnitude 6 Nm is applied to Gear A. Which of the following diagrams CORRECTLY describes a force-inertia diagram used to solve the problem? What is the relationship between the angular accelerations of gears A and B?

un
m
G
kß
B
www
m
to
rB
гB = 525 mm
v
m³ = 5 kg
= 400 mm
M = 6 N.m
PA
n
A
= 175 mm
ra =
KA = 150 mm
mA = 2 kg
MA

a.
b.
d.
6.7
F
F
By
C.C
Bx
By
on Lo Bx
F
IBB
M
6.7
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