K H A common amusement park ride is a Ferris wheel (not drawn to scale). Riders sit in chairs that are on pivots so they remain level as the wheel turns at a constant rate. A particular Ferris wheel has a radius of 27 meters, and it makes one complete revolution around its axle (at location A) in 20 seconds. In all of the following questions, consider location A (at the center of the axle) as the location around which we will calculate the angular momentum. At the instant shown in the diagram, a child of mass 39 kg, sitting at location H, is traveling with velocity < 0, -8.5, 0> m/s. What is the momentum of the child? kg-m/s In the definition LA =rx p what is the vector r? What is "1?

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10:15 PM Fri Dec 4
100%
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H
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A common amusement park ride is a Ferris wheel (not drawn to scale). Riders sit in chairs that are on pivots so they remain level
as the wheel turns at a constant rate.
A particular Ferris wheel has a radius of 27 meters, and it makes one complete revolution around its axle (at location
A) in 20 seconds. In all of the following questions, consider location A (at the center of the axle) as the location
around which we will calculate the angular momentum. At the instant shown in the diagram, a child of mass 39 kg,
sitting at location H, is traveling with velocity < 0, -8.5, 0> m/s.
What is the momentum of the child?
kg-m/s
In the definition LA =rxp what is the vector r?
m
What is "1?
m
= T
Transcribed Image Text:10:15 PM Fri Dec 4 100% В K D H G E F A common amusement park ride is a Ferris wheel (not drawn to scale). Riders sit in chairs that are on pivots so they remain level as the wheel turns at a constant rate. A particular Ferris wheel has a radius of 27 meters, and it makes one complete revolution around its axle (at location A) in 20 seconds. In all of the following questions, consider location A (at the center of the axle) as the location around which we will calculate the angular momentum. At the instant shown in the diagram, a child of mass 39 kg, sitting at location H, is traveling with velocity < 0, -8.5, 0> m/s. What is the momentum of the child? kg-m/s In the definition LA =rxp what is the vector r? m What is "1? m = T
10:15 PM Fri Dec 4
100%
What is the magnitude of the angular momentum of the child, about location A?
LA
kg-m2/s
Use the right-hand rule to determine the z-component of the angular momentum of the child, about location A:
LAz
kg-m2/s
You used the right-hand rule to determine the z-component of the angular momentum, but as a check, calculate LAz
in terms of position and momentum:
What is *· Py?
Py =
kg-m²/s
What is Y · Pr?
Y· Pr =
kg-m2/s
What is the z-component of the angular momentum of the child, about location A?
LAz
kg-m2/s
Az =
The Ferris wheel keeps turning, and at a later time, the same child is at location G, with coordinates < -19.092,
-19.092, 0 > m relative to location A, moving with velocity < 6.01, -6.01, 0 > m/s.
Now what is
x· Py?
• Py =
kg-m2/s
What is Y · Pz?
Y· Pr
kg-m²/s
What is the z-component of the angular momentum of the child, about location A?
Transcribed Image Text:10:15 PM Fri Dec 4 100% What is the magnitude of the angular momentum of the child, about location A? LA kg-m2/s Use the right-hand rule to determine the z-component of the angular momentum of the child, about location A: LAz kg-m2/s You used the right-hand rule to determine the z-component of the angular momentum, but as a check, calculate LAz in terms of position and momentum: What is *· Py? Py = kg-m²/s What is Y · Pr? Y· Pr = kg-m2/s What is the z-component of the angular momentum of the child, about location A? LAz kg-m2/s Az = The Ferris wheel keeps turning, and at a later time, the same child is at location G, with coordinates < -19.092, -19.092, 0 > m relative to location A, moving with velocity < 6.01, -6.01, 0 > m/s. Now what is x· Py? • Py = kg-m2/s What is Y · Pz? Y· Pr kg-m²/s What is the z-component of the angular momentum of the child, about location A?
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