The Ferris wheel keeps turning, and at a later time, the same child is at location G, with coordinates < -19.799, -19.799, 0> m relative to location A, moving with velocity < 6.223, -6.223,0> m/s. Now what is · Py? Py=122.936037 x kg-m²/s What is y Pz? y P=0 x kg-m²/s What is the z-component of the angular momentum of the child, about location A? LA-0 x kg-m²/s

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Chapter1: Units, Trigonometry. And Vectors
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The Ferris wheel keeps turning, and at a later time, the same child is at location G, with coordinates < -19.799, -19.799, 0> m relative to location A, moving with velocity < 6.223, -6.223, 0> m/s.
Now what is Py?
Py=122.936037
* kg-m²/s
What is y Pz?
y Pr = 0
x kg-m²/s
What is the z-component of the angular momentum of the child, about location A?
LAz = 0
x kg-m²/s
Transcribed Image Text:The Ferris wheel keeps turning, and at a later time, the same child is at location G, with coordinates < -19.799, -19.799, 0> m relative to location A, moving with velocity < 6.223, -6.223, 0> m/s. Now what is Py? Py=122.936037 * kg-m²/s What is y Pz? y Pr = 0 x kg-m²/s What is the z-component of the angular momentum of the child, about location A? LAz = 0 x kg-m²/s
What is the momentum of the child?
P-0,306,0)
kg-m/s
In the definition LA = xp what is the vector ?
7- (-28,0,0)
What is TL?
TL = 28
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 28 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 35 kg, sitting at location H, is traveling with velocity < 0, -8.8, 0> m/s.
m
What is the magnitude of the angular momentum of the child, about location A?
LA=8624
✓ kg-m²/s
m
Use the right-hand rule to determine the z-component of the angular momentum of the child, about location A:
LAZ=8624
✓kg-m²/s
What is y P₂?
y Pr = 0
H
✔ kg-m²/s
✔ kg.m²/s
What is the z-component of the angular momentum of the child, about location A?
LAZ=8624
✓ kg-m²/s
K
G
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?
x. Py=8624
€34
E
Transcribed Image Text:What is the momentum of the child? P-0,306,0) kg-m/s In the definition LA = xp what is the vector ? 7- (-28,0,0) What is TL? TL = 28 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 28 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 35 kg, sitting at location H, is traveling with velocity < 0, -8.8, 0> m/s. m What is the magnitude of the angular momentum of the child, about location A? LA=8624 ✓ kg-m²/s m Use the right-hand rule to determine the z-component of the angular momentum of the child, about location A: LAZ=8624 ✓kg-m²/s What is y P₂? y Pr = 0 H ✔ kg-m²/s ✔ kg.m²/s What is the z-component of the angular momentum of the child, about location A? LAZ=8624 ✓ kg-m²/s K G 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? x. Py=8624 €34 E
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