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
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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R5 please answer all problems and also write out all steps and reasoning. The second image shows the correct answers. 

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: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
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
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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