A gum with mass m is attached to the rim of a disk with mass M and radius R. The disk and the gum is initially rotating with angular speed w around an axis which passes through the center of the disk and is perpendicular to the plane of the disk as shown in the figure. At a certain instant the gum breaks loose and flies off with a speed of v. Which of the followings gives the correct expression for the final angular speed w of the disk. (Igum = mR², Idisk = MR² /2) Select one: 2m 1+ M O a. 2mv MR M m 2M. 2MR 2m 1+ M O C. Mv m 2mR m + M. mv O d. MR 2M 1+ m 2Mv mR

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A gum with mass m is attached to the rim of a disk with mass M and radius R. The disk and the gum is initially rotating with angular speed w
around an axis which passes through the center of the disk and is perpendicular to the plane of the disk as shown in the figure. At a certain instant
the gum breaks loose and flies off with a speed of v. Which of the followings gives the correct expression for the final angular speed w of the disk.
(Igum = mR?, Idisk = MR2 /2)
Select one:
2m
1+
M
O a.
2mv
W -
MR
M
R
m
my
Ob.
(1+
W -
2M
2MR
2m
1+
M
O c.
Mv
m
2mR
ту
Od.
1+
M
MR
O .
2M
1+
2Mv
т
mR
Transcribed Image Text:A gum with mass m is attached to the rim of a disk with mass M and radius R. The disk and the gum is initially rotating with angular speed w around an axis which passes through the center of the disk and is perpendicular to the plane of the disk as shown in the figure. At a certain instant the gum breaks loose and flies off with a speed of v. Which of the followings gives the correct expression for the final angular speed w of the disk. (Igum = mR?, Idisk = MR2 /2) Select one: 2m 1+ M O a. 2mv W - MR M R m my Ob. (1+ W - 2M 2MR 2m 1+ M O c. Mv m 2mR ту Od. 1+ M MR O . 2M 1+ 2Mv т mR
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