The platform shown in the figure below (The Merry-Go-Round) has a mass of M- 100 kg and radius R2.0 m. Lia (m 30 kg) walks slowly from the rim of the disk toward its center. If the angular speed ofthe system is 2.0 rad/s when Lia is at the rim, what is the angular speed when she reaches a pointr3-0.5 m from the center?M

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Asked Nov 10, 2019
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The platform shown in the figure below (The Merry-Go-Round) has a mass of M- 100 kg and radius R
2.0 m. Lia (m 30 kg) walks slowly from the rim of the disk toward its center. If the angular speed of
the system is 2.0 rad/s when Lia is at the rim, what is the angular speed when she reaches a pointr
3-
0.5 m from the center?
M
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The platform shown in the figure below (The Merry-Go-Round) has a mass of M- 100 kg and radius R 2.0 m. Lia (m 30 kg) walks slowly from the rim of the disk toward its center. If the angular speed of the system is 2.0 rad/s when Lia is at the rim, what is the angular speed when she reaches a pointr 3- 0.5 m from the center? M

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Step 1

Given,

Mass of rim, M 100 Kg
Radius of rim,R2 m
Mass of Lia,m =30 Kg
Distance from centerr 0.5 m
Angular speed,a =2 rad/s
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Mass of rim, M 100 Kg Radius of rim,R2 m Mass of Lia,m =30 Kg Distance from centerr 0.5 m Angular speed,a =2 rad/s

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Step 2

Total inertia of mass when Lia is at periphery of rim,

I-Mass of Inertia of disc+Mass moment of inertia ofLia at periphery
1
2
(1002(30)(2)
I 320 Kg-m2
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I-Mass of Inertia of disc+Mass moment of inertia ofLia at periphery 1 2 (1002(30)(2) I 320 Kg-m2

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Step 3

Total inertia of mass when Lia is at di...

I,-Moment of Inertia of disc+Mass moment of inertia of Lia at 0.5m from center
1
2
4(100(2+(50)(05)
I2 207.5 Kg-m2
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I,-Moment of Inertia of disc+Mass moment of inertia of Lia at 0.5m from center 1 2 4(100(2+(50)(05) I2 207.5 Kg-m2

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Angular Motion

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