Dr. Deduction has a peculiar penchant for using elaborate experimental se- tups and convoluted calculations to determine physical quantities that could have been obtained by just taking a direct measurement. In her latest exper- iment, she shuns her scale in favor of an indirect method to determine the mass of 3 identical pulleys, each of radius R (the pulleys are solid cylinders).
Dr. Deduction has a peculiar penchant for using elaborate experimental se- tups and convoluted calculations to determine physical quantities that could have been obtained by just taking a direct measurement. In her latest exper- iment, she shuns her scale in favor of an indirect method to determine the mass of 3 identical pulleys, each of radius R (the pulleys are solid cylinders).
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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Question
R5 please answer all problems and also write out all steps and reasoning. The second image shows the correct answers.

Transcribed Image Text:Question 5.
Dr. Deduction has a peculiar penchant for using elaborate experimental se-
tups and convoluted calculations to determine physical quantities that could
have been obtained by just taking a direct measurement. In her latest exper-
iment, she shuns her scale in favor of an indirect method to determine the
mass of 3 identical pulleys, each of radius R (the pulleys are solid cylinders).
She hung 2 masses of mass m and 2m from the pulleys as drawn below. When
released, the 2m mass is observed to fall with an acceleration a. Determine
the mass, M, of one of the pulleys.
po
2m
Figure 6: Experimental setup to determine the mass of a pulley

Transcribed Image Text:5)
a = Rd
AY = RAO
V=Rw
a = Rx
these
den't produce
arle
Ill
omit
for 3 ent
I={MR?
NIL
Fret
= Ma
ma
-
Tnet= I a
T- T, = Ma @
Inet
RT; - RT={MR'x
T- T2 =Ma ☺
%3D
Tnet = Ia
RTy - RT, = MR'a
Ty - T3 = {Ma ®
%3D
Fnet = 2m a
ing- Ty = 2ma
0 - @ • ® • O •©
I=r Fsin Y
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